48800400 has 120 divisors (see below), whose sum is σ = 170581344. Its totient is φ = 11827200.

The previous prime is 48800393. The next prime is 48800459. The reversal of 48800400 is 400884.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11352 + ... + 15048.

Almost surely, 2^48800400 is an apocalyptic number.

48800400 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 48800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85290672).

48800400 is an abundant number, since it is smaller than the sum of its proper divisors (121780944).

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

48800400 is a wasteful number, since it uses less digits than its factorization.

48800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48800400 is about 6985.7283084872. The cubic root of 48800400 is about 365.4330258181.

The spelling of 48800400 in words is "forty-eight million, eight hundred thousand, four hundred".