46538880 has 64 divisors (see below), whose sum is σ = 148348800. Its totient is φ = 12409856.

The previous prime is 46538873. The next prime is 46538893. The reversal of 46538880 is 8883564.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10200 + ... + 14039.

It is an arithmetic number, because the mean of its divisors is an integer number (2317950).

Almost surely, 2^46538880 is an apocalyptic number.

46538880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46538880 is an abundant number, since it is smaller than the sum of its proper divisors (101809920).

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

46538880 is a wasteful number, since it uses less digits than its factorization.

46538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24261 (or 24249 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 46538880 is about 6821.9410727446. The cubic root of 46538880 is about 359.6985130181.

The spelling of 46538880 in words is "forty-six million, five hundred thirty-eight thousand, eight hundred eighty".