480884400 has 270 divisors, whose sum is σ = 1736776860. Its totient is φ = 123206400.

The previous prime is 480884381. The next prime is 480884419. The reversal of 480884400 is 4488084.

It is an interprime number because it is at equal distance from previous prime (480884381) and next prime (480884419).

It is a super-3 number, since 3×480884400³ (a number of 27 digits) contains 333 as substring.

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 53 ways as a sum of consecutive naturals, for example, 3459531 + ... + 3459669.

Almost surely, 2^480884400 is an apocalyptic number.

480884400 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 480884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868388430).

480884400 is an abundant number, since it is smaller than the sum of its proper divisors (1255892460).

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

480884400 is a wasteful number, since it uses less digits than its factorization.

480884400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 180 counting only the distinct ones).

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

The square root of 480884400 is about 21929.0765879460. The cubic root of 480884400 is about 783.4541094395.

The spelling of 480884400 in words is "four hundred eighty million, eight hundred eighty-four thousand, four hundred".