48504960 has 256 divisors, whose sum is σ = 196819200. Its totient is φ = 11059200.

The previous prime is 48504959. The next prime is 48504971. The reversal of 48504960 is 6940584.

It is a super-2 number, since 2×48504960² = 4705462289203200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120760 + ... + 121160.

It is an arithmetic number, because the mean of its divisors is an integer number (768825).

Almost surely, 2^48504960 is an apocalyptic number.

48504960 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 48504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98409600).

48504960 is an abundant number, since it is smaller than the sum of its proper divisors (148314240).

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

48504960 is a wasteful number, since it uses less digits than its factorization.

48504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 418 counting only the distinct ones).

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

The square root of 48504960 is about 6964.5502367346. The cubic root of 48504960 is about 364.6940828241.

The spelling of 48504960 in words is "forty-eight million, five hundred four thousand, nine hundred sixty".