531364800 has 168 divisors, whose sum is σ = 1800059392. Its totient is φ = 137088000.

The previous prime is 531364783. The next prime is 531364817. The reversal of 531364800 is 8463135.

It is an interprime number because it is at equal distance from previous prime (531364783) and next prime (531364817).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147015 + ... + 150585.

Almost surely, 2^531364800 is an apocalyptic number.

531364800 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 531364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900029696).

531364800 is an abundant number, since it is smaller than the sum of its proper divisors (1268694592).

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

531364800 is a wasteful number, since it uses less digits than its factorization.

531364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 531364800 is about 23051.3513703644. The cubic root of 531364800 is about 809.9612845388.

The spelling of 531364800 in words is "five hundred thirty-one million, three hundred sixty-four thousand, eight hundred".