43477920 has 144 divisors (see below), whose sum is σ = 150270120. Its totient is φ = 11446272.

The previous prime is 43477919. The next prime is 43477921. The reversal of 43477920 is 2977434.

43477920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (43477919) and next prime (43477921).

It can be written as a sum of positive squares in 4 ways, for example, as 31945104 + 11532816 = 5652^2 + 3396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (43477921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156822 + ... + 157098.

Almost surely, 2^43477920 is an apocalyptic number.

43477920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43477920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75135060).

43477920 is an abundant number, since it is smaller than the sum of its proper divisors (106792200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

43477920 is a wasteful number, since it uses less digits than its factorization.

43477920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 43477920 is about 6593.7788861927. The cubic root of 43477920 is about 351.6329679780.

The spelling of 43477920 in words is "forty-three million, four hundred seventy-seven thousand, nine hundred twenty".