484880400 has 135 divisors (see below), whose sum is σ = 1687267101. Its totient is φ = 128949120.

The previous prime is 484880359. The next prime is 484880413. The reversal of 484880400 is 4088484.

The square root of 484880400 is 22020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 174556944 + 310323456 = 13212^2 + 17616^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1321017 + ... + 1321383.

Almost surely, 2^484880400 is an apocalyptic number.

484880400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

484880400 is the 22020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484880400

484880400 is an abundant number, since it is smaller than the sum of its proper divisors (1202386701).

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

484880400 is a wasteful number, since it uses less digits than its factorization.

484880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The cubic root of 484880400 is about 785.6182128892.

Multiplying 484880400 by its sum of digits (36), we get a square (17455694400 = 132120²).

484880400 divided by its sum of digits (36) gives a square (13468900 = 3670²).

The spelling of 484880400 in words is "four hundred eighty-four million, eight hundred eighty thousand, four hundred".