312523440 has 40 divisors (see below), whose sum is σ = 968823408. Its totient is φ = 83339520.

The previous prime is 312523429. The next prime is 312523451. The reversal of 312523440 is 44325213.

It is an interprime number because it is at equal distance from previous prime (312523429) and next prime (312523451).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×312523440³ (a number of 26 digits) contains 333 as substring.

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 312523440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 650851 + ... + 651330.

Almost surely, 2^312523440 is an apocalyptic number.

312523440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312523440 is an abundant number, since it is smaller than the sum of its proper divisors (656299968).

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

312523440 is a wasteful number, since it uses less digits than its factorization.

312523440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302197 (or 1302191 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 312523440 is about 17678.3325005499. The cubic root of 312523440 is about 678.6213706442.

Adding to 312523440 its reverse (44325213), we get a palindrome (356848653).

It can be divided in two parts, 3125 and 23440, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 312523440 in words is "three hundred twelve million, five hundred twenty-three thousand, four hundred forty".