531313440 has 96 divisors (see below), whose sum is σ = 1912740480. Its totient is φ = 121442304.

The previous prime is 531313439. The next prime is 531313441. The reversal of 531313440 is 44313135.

531313440 = 2873² + 2874² + ... + 2935².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (531313439) and next prime (531313441).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 531313440.

It is not an unprimeable number, because it can be changed into a prime (531313441) 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, 75705 + ... + 82424.

It is an arithmetic number, because the mean of its divisors is an integer number (19924380).

Almost surely, 2^531313440 is an apocalyptic number.

It is an amenable number.

531313440 is an abundant number, since it is smaller than the sum of its proper divisors (1381427040).

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

531313440 is a wasteful number, since it uses less digits than its factorization.

531313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158154 (or 158146 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 531313440 is about 23050.2373089736. The cubic root of 531313440 is about 809.9351876201.

Adding to 531313440 its reverse (44313135), we get a palindrome (575626575).

The spelling of 531313440 in words is "five hundred thirty-one million, three hundred thirteen thousand, four hundred forty".