49657920 has 224 divisors, whose sum is σ = 178198272. Its totient is φ = 11624448.

The previous prime is 49657919. The next prime is 49657973. The reversal of 49657920 is 2975694.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286954 + ... + 287126.

It is an arithmetic number, because the mean of its divisors is an integer number (795528).

Almost surely, 2^49657920 is an apocalyptic number.

49657920 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 49657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89099136).

49657920 is an abundant number, since it is smaller than the sum of its proper divisors (128540352).

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

49657920 is a wasteful number, since it uses less digits than its factorization.

49657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 49657920 is about 7046.8375885925. The cubic root of 49657920 is about 367.5610708818.

The spelling of 49657920 in words is "forty-nine million, six hundred fifty-seven thousand, nine hundred twenty".