49996800 has 396 divisors, whose sum is σ = 211184896. Its totient is φ = 11059200.

The previous prime is 49996799. The next prime is 49996811. The reversal of 49996800 is 869994.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1612785 + ... + 1612815.

Almost surely, 2^49996800 is an apocalyptic number.

49996800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105592448).

49996800 is an abundant number, since it is smaller than the sum of its proper divisors (161188096).

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

49996800 is a wasteful number, since it uses less digits than its factorization.

49996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 49996800 is about 7070.8415340750. The cubic root of 49996800 is about 368.3952904292.

The spelling of 49996800 in words is "forty-nine million, nine hundred ninety-six thousand, eight hundred".