49664400 has 60 divisors (see below), whose sum is σ = 159095472. Its totient is φ = 13243520.

The previous prime is 49664399. The next prime is 49664401. The reversal of 49664400 is 446694.

49664400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49664399) and next prime (49664401).

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (49664401) by changing a digit.

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, 19494 + ... + 21893.

Almost surely, 2^49664400 is an apocalyptic number.

49664400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49664400 is an abundant number, since it is smaller than the sum of its proper divisors (109431072).

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

49664400 is a wasteful number, since it uses less digits than its factorization.

49664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41408 (or 41397 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 49664400 is about 7047.2973543054. The cubic root of 49664400 is about 367.5770582083.

The spelling of 49664400 in words is "forty-nine million, six hundred sixty-four thousand, four hundred".