531406080 has 216 divisors, whose sum is σ = 1856426208. Its totient is φ = 140341248.

The previous prime is 531406069. The next prime is 531406093. The reversal of 531406080 is 80604135.

531406080 is a `hidden beast` number, since 53 + 1 + 4 + 0 + 608 + 0 = 666.

It is a congruent number.

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, 1877619 + ... + 1877901.

Almost surely, 2^531406080 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 531406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928213104).

531406080 is an abundant number, since it is smaller than the sum of its proper divisors (1325020128).

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

531406080 is a wasteful number, since it uses less digits than its factorization.

531406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 531406080 is about 23052.2467451656. The cubic root of 531406080 is about 809.9822584134.

The spelling of 531406080 in words is "five hundred thirty-one million, four hundred six thousand, eighty".