164740400 has 60 divisors (see below), whose sum is σ = 431781144. Its totient is φ = 59904000.

The previous prime is 164740399. The next prime is 164740423. The reversal of 164740400 is 4047461.

164740400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164740400.

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, 14321 + ... + 23120.

Almost surely, 2^164740400 is an apocalyptic number.

164740400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164740400 is an abundant number, since it is smaller than the sum of its proper divisors (267040744).

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

164740400 is a wasteful number, since it uses less digits than its factorization.

164740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37470 (or 37459 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 164740400 is about 12835.1236846397. The cubic root of 164740400 is about 548.1928566235.

Adding to 164740400 its reverse (4047461), we get a palindrome (168787861).

The spelling of 164740400 in words is "one hundred sixty-four million, seven hundred forty thousand, four hundred".