49984900 has 81 divisors (see below), whose sum is σ = 127437807. Its totient is φ = 16968000.

The previous prime is 49984897. The next prime is 49984903. The reversal of 49984900 is 948994.

The square root of 49984900 is 7070.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (49984897) and next prime (49984903).

It can be written as a sum of positive squares in 4 ways, for example, as 9229444 + 40755456 = 3038^2 + 6384^2 .

It is not an unprimeable number, because it can be changed into a prime (49984903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 494850 + ... + 494950.

Almost surely, 2^49984900 is an apocalyptic number.

49984900 is the 7070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49984900

49984900 is an abundant number, since it is smaller than the sum of its proper divisors (77452907).

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

49984900 is a wasteful number, since it uses less digits than its factorization.

49984900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The cubic root of 49984900 is about 368.3660602130.

The spelling of 49984900 in words is "forty-nine million, nine hundred eighty-four thousand, nine hundred".