880480400 has 30 divisors (see below), whose sum is σ = 2115355122. Its totient is φ = 352192000.

The previous prime is 880480373. The next prime is 880480409. The reversal of 880480400 is 4084088.

It can be written as a sum of positive squares in 3 ways, for example, as 15649936 + 864830464 = 3956^2 + 29408^2 .

It is a super-3 number, since 3×880480400³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (880480409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1100201 + ... + 1101000.

Almost surely, 2^880480400 is an apocalyptic number.

880480400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

880480400 is an abundant number, since it is smaller than the sum of its proper divisors (1234874722).

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

880480400 is a wasteful number, since it uses less digits than its factorization.

880480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201219 (or 2201208 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 880480400 is about 29672.8899839567. The cubic root of 880480400 is about 958.4583183344.

The spelling of 880480400 in words is "eight hundred eighty million, four hundred eighty thousand, four hundred".