49914900 has 288 divisors, whose sum is σ = 194432000. Its totient is φ = 10730880.

The previous prime is 49914877. The next prime is 49914967. The reversal of 49914900 is 941994.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359031 + ... + 359169.

Almost surely, 2^49914900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49914900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97216000).

49914900 is an abundant number, since it is smaller than the sum of its proper divisors (144517100).

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

49914900 is a wasteful number, since it uses less digits than its factorization.

49914900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 49914900 is about 7065.0477705391. The cubic root of 49914900 is about 368.1940237879.

The spelling of 49914900 in words is "forty-nine million, nine hundred fourteen thousand, nine hundred".