46657920 has 128 divisors (see below), whose sum is σ = 156672000. Its totient is φ = 11778048.

The previous prime is 46657913. The next prime is 46657957. The reversal of 46657920 is 2975664.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×46657920² = 4353922997452800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35841 + ... + 37119.

It is an arithmetic number, because the mean of its divisors is an integer number (1224000).

Almost surely, 2^46657920 is an apocalyptic number.

46657920 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 46657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78336000).

46657920 is an abundant number, since it is smaller than the sum of its proper divisors (110014080).

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

46657920 is a wasteful number, since it uses less digits than its factorization.

46657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 46657920 is about 6830.6602901916. The cubic root of 46657920 is about 360.0049382039.

The spelling of 46657920 in words is "forty-six million, six hundred fifty-seven thousand, nine hundred twenty".