47376800 has 36 divisors (see below), whose sum is σ = 115660566. Its totient is φ = 18950400.

The previous prime is 47376793. The next prime is 47376811. The reversal of 47376800 is 867374.

It can be written as a sum of positive squares in 3 ways, for example, as 30958096 + 16418704 = 5564^2 + 4052^2 .

It is a super-2 number, since 2×47376800² = 4489122356480000, which contains 22 as substring.

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, 28811 + ... + 30410.

Almost surely, 2^47376800 is an apocalyptic number.

47376800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47376800 is an abundant number, since it is smaller than the sum of its proper divisors (68283766).

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

47376800 is a wasteful number, since it uses less digits than its factorization.

47376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59241 (or 59228 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 47376800 is about 6883.0807056143. The cubic root of 47376800 is about 361.8444434055.

The spelling of 47376800 in words is "forty-seven million, three hundred seventy-six thousand, eight hundred".