48874320 has 320 divisors, whose sum is σ = 196058880. Its totient is φ = 11151360.

The previous prime is 48874291. The next prime is 48874363. The reversal of 48874320 is 2347884.

48874320 = 183² + 184² + ... + 534².

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2874952 + ... + 2874968.

It is an arithmetic number, because the mean of its divisors is an integer number (612684).

Almost surely, 2^48874320 is an apocalyptic number.

48874320 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 48874320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98029440).

48874320 is an abundant number, since it is smaller than the sum of its proper divisors (147184560).

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

48874320 is a wasteful number, since it uses less digits than its factorization.

48874320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 48874320 is about 6991.0170933849. The cubic root of 48874320 is about 365.6174449458.

It can be divided in two parts, 48874 and 320, that added together give a palindrome (49194).

The spelling of 48874320 in words is "forty-eight million, eight hundred seventy-four thousand, three hundred twenty".