46257920 has 72 divisors (see below), whose sum is σ = 112583520. Its totient is φ = 18206720.

The previous prime is 46257863. The next prime is 46257931. The reversal of 46257920 is 2975264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90626 + ... + 91134.

It is an arithmetic number, because the mean of its divisors is an integer number (1563660).

Almost surely, 2^46257920 is an apocalyptic number.

46257920 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 46257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56291760).

46257920 is an abundant number, since it is smaller than the sum of its proper divisors (66325600).

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

46257920 is an equidigital number, since it uses as much as digits as its factorization.

46257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 46257920 is about 6801.3175194222. The cubic root of 46257920 is about 358.9732058431.

The spelling of 46257920 in words is "forty-six million, two hundred fifty-seven thousand, nine hundred twenty".