531878400 has 480 divisors, whose sum is σ = 2080372800. Its totient is φ = 134369280.

The previous prime is 531878387. The next prime is 531878401. The reversal of 531878400 is 4878135.

531878400 is a `hidden beast` number, since 531 + 87 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×531878400³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (531878401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27993591 + ... + 27993609.

It is an arithmetic number, because the mean of its divisors is an integer number (4334110).

Almost surely, 2^531878400 is an apocalyptic number.

531878400 is a gapful number since it is divisible by the number (50) 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 531878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040186400).

531878400 is an abundant number, since it is smaller than the sum of its proper divisors (1548494400).

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

531878400 is an frugal number, since it uses more digits than its factorization.

531878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

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

The square root of 531878400 is about 23062.4890243876. The cubic root of 531878400 is about 810.2221612838. Note that the first 3 decimals are identical.

The spelling of 531878400 in words is "five hundred thirty-one million, eight hundred seventy-eight thousand, four hundred".