880457472 has 288 divisors, whose sum is σ = 2825625600. Its totient is φ = 269402112.

The previous prime is 880457441. The next prime is 880457491. The reversal of 880457472 is 274754088.

880457472 is a `hidden beast` number, since 8 + 8 + 0 + 4 + 574 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6932673 + ... + 6932799.

It is an arithmetic number, because the mean of its divisors is an integer number (9811200).

Almost surely, 2^880457472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880457472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412812800).

880457472 is an abundant number, since it is smaller than the sum of its proper divisors (1945168128).

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

880457472 is a wasteful number, since it uses less digits than its factorization.

880457472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 880457472 is about 29672.5036355209. The cubic root of 880457472 is about 958.4499987387.

The spelling of 880457472 in words is "eight hundred eighty million, four hundred fifty-seven thousand, four hundred seventy-two".