49080960 has 96 divisors (see below), whose sum is σ = 169502580. Its totient is φ = 13086720.

The previous prime is 49080959. The next prime is 49080961. The reversal of 49080960 is 6908094.

49080960 is a `hidden beast` number, since 490 + 80 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49080959) and next prime (49080961).

It can be written as a sum of positive squares in 2 ways, for example, as 48776256 + 304704 = 6984^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49080961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1500 + ... + 10020.

Almost surely, 2^49080960 is an apocalyptic number.

49080960 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 49080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84751290).

49080960 is an abundant number, since it is smaller than the sum of its proper divisors (120421620).

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

49080960 is a wasteful number, since it uses less digits than its factorization.

49080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8546 (or 8531 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 49080960 is about 7005.7804704401. The cubic root of 49080960 is about 366.1319957483.

The spelling of 49080960 in words is "forty-nine million, eighty thousand, nine hundred sixty".