880449600 has 336 divisors, whose sum is σ = 3061915136. Its totient is φ = 221184000.

The previous prime is 880449593. The next prime is 880449611. The reversal of 880449600 is 6944088.

It is a super-3 number, since 3×880449600³ (a number of 28 digits) contains 333 as substring.

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, 9076752 + ... + 9076848.

Almost surely, 2^880449600 is an apocalyptic number.

880449600 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 880449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530957568).

880449600 is an abundant number, since it is smaller than the sum of its proper divisors (2181465536).

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

880449600 is a wasteful number, since it uses less digits than its factorization.

880449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 880449600 is about 29672.3709871658. The cubic root of 880449600 is about 958.4471422914.

The spelling of 880449600 in words is "eight hundred eighty million, four hundred forty-nine thousand, six hundred".