49516920 has 320 divisors, whose sum is σ = 188179200. Its totient is φ = 11612160.

The previous prime is 49516877. The next prime is 49516931. The reversal of 49516920 is 2961594.

49516920 is a `hidden beast` number, since 495 + 169 + 2 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 1597305 + ... + 1597335.

It is an arithmetic number, because the mean of its divisors is an integer number (588060).

Almost surely, 2^49516920 is an apocalyptic number.

49516920 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 49516920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94089600).

49516920 is an abundant number, since it is smaller than the sum of its proper divisors (138662280).

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

49516920 is a wasteful number, since it uses less digits than its factorization.

49516920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 49516920 is about 7036.8259890380. The cubic root of 49516920 is about 367.2128535806.

The spelling of 49516920 in words is "forty-nine million, five hundred sixteen thousand, nine hundred twenty".