49926960 has 120 divisors (see below), whose sum is σ = 177577920. Its totient is φ = 12527616.

The previous prime is 49926959. The next prime is 49926979. The reversal of 49926960 is 6962994.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10201 + ... + 14279.

It is an arithmetic number, because the mean of its divisors is an integer number (1479816).

Almost surely, 2^49926960 is an apocalyptic number.

49926960 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 49926960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88788960).

49926960 is an abundant number, since it is smaller than the sum of its proper divisors (127650960).

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

49926960 is a wasteful number, since it uses less digits than its factorization.

49926960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4115 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 49926960 is about 7065.9012164054. The cubic root of 49926960 is about 368.2236746694.

The spelling of 49926960 in words is "forty-nine million, nine hundred twenty-six thousand, nine hundred sixty".