48232800 has 576 divisors, whose sum is σ = 224985600. Its totient is φ = 9676800.

The previous prime is 48232787. The next prime is 48232801. The reversal of 48232800 is 823284.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48232801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1663186 + ... + 1663214.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 2^48232800 is an apocalyptic number.

48232800 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 48232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

48232800 is an abundant number, since it is smaller than the sum of its proper divisors (176752800).

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

48232800 is a wasteful number, since it uses less digits than its factorization.

48232800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48232800 is about 6944.9838012770. The cubic root of 48232800 is about 364.0107069265.

The spelling of 48232800 in words is "forty-eight million, two hundred thirty-two thousand, eight hundred".