46553920 has 84 divisors (see below), whose sum is σ = 128998980. Its totient is φ = 15955968.

The previous prime is 46553917. The next prime is 46553929. The reversal of 46553920 is 2935564.

It can be written as a sum of positive squares in 2 ways, for example, as 5798464 + 40755456 = 2408^2 + 6384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46553929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14196 + ... + 17164.

Almost surely, 2^46553920 is an apocalyptic number.

46553920 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 46553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64499490).

46553920 is an abundant number, since it is smaller than the sum of its proper divisors (82445060).

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

46553920 is a wasteful number, since it uses less digits than its factorization.

46553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 46553920 is about 6823.0433092572. The cubic root of 46553920 is about 359.7372568453.

The spelling of 46553920 in words is "forty-six million, five hundred fifty-three thousand, nine hundred twenty".