48450960 has 100 divisors (see below), whose sum is σ = 168299868. Its totient is φ = 12918528.

The previous prime is 48450953. The next prime is 48450979. The reversal of 48450960 is 6905484.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 14017536 = 5868^2 + 3744^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2742 + ... + 10218.

Almost surely, 2^48450960 is an apocalyptic number.

48450960 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 48450960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84149934).

48450960 is an abundant number, since it is smaller than the sum of its proper divisors (119848908).

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

48450960 is a wasteful number, since it uses less digits than its factorization.

48450960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7502 (or 7487 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 48450960 is about 6960.6723813149. The cubic root of 48450960 is about 364.5586960295.

The spelling of 48450960 in words is "forty-eight million, four hundred fifty thousand, nine hundred sixty".