46646880 has 96 divisors (see below), whose sum is σ = 167940864. Its totient is φ = 10661376.

The previous prime is 46646879. The next prime is 46646891. The reversal of 46646880 is 8864664.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3582 + ... + 10301.

It is an arithmetic number, because the mean of its divisors is an integer number (1749384).

Almost surely, 2^46646880 is an apocalyptic number.

46646880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46646880 is an abundant number, since it is smaller than the sum of its proper divisors (121293984).

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

46646880 is a wasteful number, since it uses less digits than its factorization.

46646880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13908 (or 13900 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 46646880 is about 6829.8521213859. The cubic root of 46646880 is about 359.9765416813.

The spelling of 46646880 in words is "forty-six million, six hundred forty-six thousand, eight hundred eighty".