46564160 has 28 divisors (see below), whose sum is σ = 110881668. Its totient is φ = 18625536.

The previous prime is 46564127. The next prime is 46564183. The reversal of 46564160 is 6146564.

It can be written as a sum of positive squares in 2 ways, for example, as 19855936 + 26708224 = 4456^2 + 5168^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72437 + ... + 73076.

Almost surely, 2^46564160 is an apocalyptic number.

46564160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46564160 is an abundant number, since it is smaller than the sum of its proper divisors (64317508).

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

46564160 is a wasteful number, since it uses less digits than its factorization.

46564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145530 (or 145520 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 46564160 is about 6823.7936662827. The cubic root of 46564160 is about 359.7636308467.

The spelling of 46564160 in words is "forty-six million, five hundred sixty-four thousand, one hundred sixty".