48976000 has 64 divisors (see below), whose sum is σ = 121806360. Its totient is φ = 19584000.

The previous prime is 48975991. The next prime is 48976069. The reversal of 48976000 is 67984.

It can be written as a sum of positive squares in 4 ways, for example, as 27962944 + 21013056 = 5288^2 + 4584^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14470 + ... + 17530.

Almost surely, 2^48976000 is an apocalyptic number.

48976000 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 48976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60903180).

48976000 is an abundant number, since it is smaller than the sum of its proper divisors (72830360).

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

48976000 is an equidigital number, since it uses as much as digits as its factorization.

48976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 48976000 is about 6998.2855043218. The cubic root of 48976000 is about 365.8708174789.

The spelling of 48976000 in words is "forty-eight million, nine hundred seventy-six thousand".