47460800 has 42 divisors (see below), whose sum is σ = 116787168. Its totient is φ = 18983680.

The previous prime is 47460793. The next prime is 47460851. The reversal of 47460800 is 806474.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13232 + ... + 16431.

Almost surely, 2^47460800 is an apocalyptic number.

47460800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47460800 is an abundant number, since it is smaller than the sum of its proper divisors (69326368).

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

47460800 is a wasteful number, since it uses less digits than its factorization.

47460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29685 (or 29670 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 47460800 is about 6889.1799221678. The cubic root of 47460800 is about 362.0581695845.

The spelling of 47460800 in words is "forty-seven million, four hundred sixty thousand, eight hundred".