531478800 has 120 divisors (see below), whose sum is σ = 1891709280. Its totient is φ = 141724800.

The previous prime is 531478793. The next prime is 531478819. The reversal of 531478800 is 8874135.

531478800 is a `hidden beast` number, since 531 + 47 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13806 + ... + 35405.

It is an arithmetic number, because the mean of its divisors is an integer number (15764244).

Almost surely, 2^531478800 is an apocalyptic number.

531478800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

531478800 is an abundant number, since it is smaller than the sum of its proper divisors (1360230480).

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

531478800 is a wasteful number, since it uses less digits than its factorization.

531478800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49238 (or 49221 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 531478800 is about 23053.8239778133. The cubic root of 531478800 is about 810.0192039343.

The spelling of 531478800 in words is "five hundred thirty-one million, four hundred seventy-eight thousand, eight hundred".