49915200 has 84 divisors (see below), whose sum is σ = 163779200. Its totient is φ = 13309440.

The previous prime is 49915181. The next prime is 49915211. The reversal of 49915200 is 251994.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 400 + ... + 9999.

Almost surely, 2^49915200 is an apocalyptic number.

49915200 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 49915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81889600).

49915200 is an abundant number, since it is smaller than the sum of its proper divisors (113864000).

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

49915200 is a wasteful number, since it uses less digits than its factorization.

49915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10424 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 49915200 is about 7065.0690017862. The cubic root of 49915200 is about 368.1947614299.

The spelling of 49915200 in words is "forty-nine million, nine hundred fifteen thousand, two hundred".