49988400 has 240 divisors, whose sum is σ = 200011008. Its totient is φ = 10368000.

The previous prime is 49988377. The next prime is 49988441. The reversal of 49988400 is 488994.

49988400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 92130 + ... + 92670.

Almost surely, 2^49988400 is an apocalyptic number.

49988400 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 49988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100005504).

49988400 is an abundant number, since it is smaller than the sum of its proper divisors (150022608).

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

49988400 is a wasteful number, since it uses less digits than its factorization.

49988400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 49988400 is about 7070.2475204196. The cubic root of 49988400 is about 368.3746578170.

The spelling of 49988400 in words is "forty-nine million, nine hundred eighty-eight thousand, four hundred".