315142464 has 224 divisors, whose sum is σ = 1087623936. Its totient is φ = 78151680.

The previous prime is 315142453. The next prime is 315142469. The reversal of 315142464 is 464241513.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315142469) 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, 296494 + ... + 297554.

It is an arithmetic number, because the mean of its divisors is an integer number (4855464).

Almost surely, 2^315142464 is an apocalyptic number.

315142464 is a gapful number since it is divisible by the number (34) 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 315142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543811968).

315142464 is an abundant number, since it is smaller than the sum of its proper divisors (772481472).

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

315142464 is a wasteful number, since it uses less digits than its factorization.

315142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1103 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 315142464 is about 17752.2523641368. The cubic root of 315142464 is about 680.5117716041.

Adding to 315142464 its reverse (464241513), we get a palindrome (779383977).

The spelling of 315142464 in words is "three hundred fifteen million, one hundred forty-two thousand, four hundred sixty-four".