4880400 has 180 divisors, whose sum is σ = 18405072. Its totient is φ = 1102080.

The previous prime is 4880387. The next prime is 4880401. The reversal of 4880400 is 40884.

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 not an unprimeable number, because it can be changed into a prime (4880401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58759 + ... + 58841.

Almost surely, 2^4880400 is an apocalyptic number.

4880400 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 4880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9202536).

4880400 is an abundant number, since it is smaller than the sum of its proper divisors (13524672).

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

4880400 is a wasteful number, since it uses less digits than its factorization.

4880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

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

The square root of 4880400 is about 2209.1627373283. The cubic root of 4880400 is about 169.6231560290.

The spelling of 4880400 in words is "four million, eight hundred eighty thousand, four hundred".