531537440 has 96 divisors (see below), whose sum is σ = 1443173760. Its totient is φ = 181223424.

The previous prime is 531537437. The next prime is 531537443. The reversal of 531537440 is 44735135.

It is an interprime number because it is at equal distance from previous prime (531537437) and next prime (531537443).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 531537397 and 531537406.

It is not an unprimeable number, because it can be changed into a prime (531537443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214931 + ... + 217389.

It is an arithmetic number, because the mean of its divisors is an integer number (15033060).

Almost surely, 2^531537440 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 531537440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721586880).

531537440 is an abundant number, since it is smaller than the sum of its proper divisors (911636320).

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

531537440 is a wasteful number, since it uses less digits than its factorization.

531537440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 531537440 is about 23055.0957490963. The cubic root of 531537440 is about 810.0489936326.

The spelling of 531537440 in words is "five hundred thirty-one million, five hundred thirty-seven thousand, four hundred forty".