49168400 has 30 divisors (see below), whose sum is σ = 118128042. Its totient is φ = 19667200.

The previous prime is 49168397. The next prime is 49168477. The reversal of 49168400 is 486194.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 49168144 = 16^2 + 7012^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61061 + ... + 61860.

Almost surely, 2^49168400 is an apocalyptic number.

49168400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49168400 is an abundant number, since it is smaller than the sum of its proper divisors (68959642).

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

49168400 is a wasteful number, since it uses less digits than its factorization.

49168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122939 (or 122928 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 49168400 is about 7012.0182543972. The cubic root of 49168400 is about 366.3492937846.

The spelling of 49168400 in words is "forty-nine million, one hundred sixty-eight thousand, four hundred".