164474400 has 72 divisors (see below), whose sum is σ = 535371984. Its totient is φ = 43859200.

The previous prime is 164474389. The next prime is 164474419. The reversal of 164474400 is 4474461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31866 + ... + 36665.

It is an arithmetic number, because the mean of its divisors is an integer number (7435722).

Almost surely, 2^164474400 is an apocalyptic number.

164474400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164474400 is an abundant number, since it is smaller than the sum of its proper divisors (370897584).

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

164474400 is a wasteful number, since it uses less digits than its factorization.

164474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68554 (or 68541 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 164474400 is about 12824.7573076452. The cubic root of 164474400 is about 547.8976490256.

The spelling of 164474400 in words is "one hundred sixty-four million, four hundred seventy-four thousand, four hundred".