531400896 has 252 divisors, whose sum is σ = 1696778928. Its totient is φ = 158865408.

The previous prime is 531400819. The next prime is 531400897. The reversal of 531400896 is 698004135.

531400896 is a `hidden beast` number, since 531 + 40 + 0 + 89 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 531400896.

It is not an unprimeable number, because it can be changed into a prime (531400897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5159181 + ... + 5159283.

Almost surely, 2^531400896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848389464).

531400896 is an abundant number, since it is smaller than the sum of its proper divisors (1165378032).

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

531400896 is a wasteful number, since it uses less digits than its factorization.

531400896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 531400896 is about 23052.1343046582. The cubic root of 531400896 is about 809.9796245446.

The spelling of 531400896 in words is "five hundred thirty-one million, four hundred thousand, eight hundred ninety-six".