164504400 has 60 divisors (see below), whose sum is σ = 526966272. Its totient is φ = 43867520.

The previous prime is 164504381. The next prime is 164504437. The reversal of 164504400 is 4405461.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67344 + ... + 69743.

Almost surely, 2^164504400 is an apocalyptic number.

164504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164504400 is an abundant number, since it is smaller than the sum of its proper divisors (362461872).

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

164504400 is a wasteful number, since it uses less digits than its factorization.

164504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137108 (or 137097 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 164504400 is about 12825.9268670923. The cubic root of 164504400 is about 547.9309590326.

Adding to 164504400 its reverse (4405461), we get a palindrome (168909861).

The spelling of 164504400 in words is "one hundred sixty-four million, five hundred four thousand, four hundred".