46992960 has 420 divisors, whose sum is σ = 199709532. Its totient is φ = 10450944.

The previous prime is 46992949. The next prime is 46993003. The reversal of 46992960 is 6929964.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 16257024 = 5544^2 + 4032^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1270062 + ... + 1270098.

Almost surely, 2^46992960 is an apocalyptic number.

46992960 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 46992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99854766).

46992960 is an abundant number, since it is smaller than the sum of its proper divisors (152716572).

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

46992960 is a wasteful number, since it uses less digits than its factorization.

46992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 46992960 is about 6855.1411364027. The cubic root of 46992960 is about 360.8645885783.

The spelling of 46992960 in words is "forty-six million, nine hundred ninety-two thousand, nine hundred sixty".