48792000 has 224 divisors, whose sum is σ = 171175680. Its totient is φ = 12211200.

The previous prime is 48791983. The next prime is 48792031. The reversal of 48792000 is 29784.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455947 + ... + 456053.

Almost surely, 2^48792000 is an apocalyptic number.

48792000 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 48792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85587840).

48792000 is an abundant number, since it is smaller than the sum of its proper divisors (122383680).

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

48792000 is a wasteful number, since it uses less digits than its factorization.

48792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 48792000 is about 6985.1270568258. The cubic root of 48792000 is about 365.4120573182.

The spelling of 48792000 in words is "forty-eight million, seven hundred ninety-two thousand".