880448400 has 240 divisors, whose sum is σ = 3375339520. Its totient is φ = 216691200.

The previous prime is 880448399. The next prime is 880448417. The reversal of 880448400 is 4844088.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 137265 + ... + 143535.

Almost surely, 2^880448400 is an apocalyptic number.

880448400 is a gapful number since it is divisible by the number (80) 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 880448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687669760).

880448400 is an abundant number, since it is smaller than the sum of its proper divisors (2494891120).

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

880448400 is a wasteful number, since it uses less digits than its factorization.

880448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6311 (or 6294 counting only the distinct ones).

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

The square root of 880448400 is about 29672.3507663279. The cubic root of 880448400 is about 958.4467068559.

The spelling of 880448400 in words is "eight hundred eighty million, four hundred forty-eight thousand, four hundred".