15130464 has 36 divisors (see below), whose sum is σ = 39817764. Its totient is φ = 5030784.

The previous prime is 15130463. The next prime is 15130469. The reversal of 15130464 is 46403151.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15130463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37914 + ... + 38310.

It is an arithmetic number, because the mean of its divisors is an integer number (1106049).

Almost surely, 2^15130464 is an apocalyptic number.

It is an amenable number.

15130464 is an abundant number, since it is smaller than the sum of its proper divisors (24687300).

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

15130464 is an frugal number, since it uses more digits than its factorization.

15130464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 15130464 is about 3889.7897115397. The cubic root of 15130464 is about 247.3341486562.

Multiplying 15130464 by its sum of digits (24), we get a square (363131136 = 19056²).

15130464 divided by its sum of digits (24) gives a square (630436 = 794²).

It can be divided in two parts, 151 and 30464, that multiplied together give a palindrome (4600064).

The spelling of 15130464 in words is "fifteen million, one hundred thirty thousand, four hundred sixty-four".