164400315 has 16 divisors (see below), whose sum is σ = 263328288. Its totient is φ = 87584256.

The previous prime is 164400281. The next prime is 164400317. The reversal of 164400315 is 513004461.

It is not a de Polignac number, because 164400315 - 2⁸ = 164400059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164400317) 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, 9459 + ... + 20451.

It is an arithmetic number, because the mean of its divisors is an integer number (16458018).

Almost surely, 2^164400315 is an apocalyptic number.

164400315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164400315 is a deficient number, since it is larger than the sum of its proper divisors (98927973).

164400315 is a wasteful number, since it uses less digits than its factorization.

164400315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11998.

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

The square root of 164400315 is about 12821.8686235665. The cubic root of 164400315 is about 547.8153726078.

Adding to 164400315 its reverse (513004461), we get a palindrome (677404776).

The spelling of 164400315 in words is "one hundred sixty-four million, four hundred thousand, three hundred fifteen".