164880400 has 30 divisors (see below), whose sum is σ = 396126122. Its totient is φ = 65952000.

The previous prime is 164880337. The next prime is 164880409. The reversal of 164880400 is 4088461.

It can be written as a sum of positive squares in 3 ways, for example, as 47114496 + 117765904 = 6864^2 + 10852^2 .

It is not an unprimeable number, because it can be changed into a prime (164880409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 205701 + ... + 206500.

Almost surely, 2^164880400 is an apocalyptic number.

164880400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164880400 is an abundant number, since it is smaller than the sum of its proper divisors (231245722).

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

164880400 is a wasteful number, since it uses less digits than its factorization.

164880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412219 (or 412208 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 164880400 is about 12840.5763110540. The cubic root of 164880400 is about 548.3481014203.

The spelling of 164880400 in words is "one hundred sixty-four million, eight hundred eighty thousand, four hundred".