46971120 has 160 divisors (see below), whose sum is σ = 169132032. Its totient is φ = 10561536.

The previous prime is 46971101. The next prime is 46971121. The reversal of 46971120 is 2117964.

It is a happy number.

46971120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46971120² = 4412572228108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46971121) 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 31 ways as a sum of consecutive naturals, for example, 122449 + ... + 122831.

Almost surely, 2^46971120 is an apocalyptic number.

46971120 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 46971120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84566016).

46971120 is an abundant number, since it is smaller than the sum of its proper divisors (122160912).

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

46971120 is a wasteful number, since it uses less digits than its factorization.

46971120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 46971120 is about 6853.5479862623. The cubic root of 46971120 is about 360.8086759205.

The spelling of 46971120 in words is "forty-six million, nine hundred seventy-one thousand, one hundred twenty".