46628640 has 72 divisors (see below), whose sum is σ = 159125148. Its totient is φ = 12433920.

The previous prime is 46628629. The next prime is 46628657. The reversal of 46628640 is 4682664.

It is a happy number.

46628640 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46621584 + 7056 = 6828^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 46628595 and 46628604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14751 + ... + 17630.

Almost surely, 2^46628640 is an apocalyptic number.

46628640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46628640 is an abundant number, since it is smaller than the sum of its proper divisors (112496508).

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

46628640 is a wasteful number, since it uses less digits than its factorization.

46628640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32402 (or 32391 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 46628640 is about 6828.5166764093. The cubic root of 46628640 is about 359.9296158696.

The spelling of 46628640 in words is "forty-six million, six hundred twenty-eight thousand, six hundred forty".