531987456 has 352 divisors, whose sum is σ = 1914812928. Its totient is φ = 126812160.

The previous prime is 531987413. The next prime is 531987457. The reversal of 531987456 is 654789135.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531987457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3074986 + ... + 3075158.

Almost surely, 2^531987456 is an apocalyptic number.

531987456 is a gapful number since it is divisible by the number (56) 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 531987456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957406464).

531987456 is an abundant number, since it is smaller than the sum of its proper divisors (1382825472).

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

531987456 is a wasteful number, since it uses less digits than its factorization.

531987456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 531987456 is about 23064.8532620522. The cubic root of 531987456 is about 810.2775333072.

The spelling of 531987456 in words is "five hundred thirty-one million, nine hundred eighty-seven thousand, four hundred fifty-six".