472988880 has 240 divisors, whose sum is σ = 1955291520. Its totient is φ = 99781632.

The previous prime is 472988861. The next prime is 472988897. The reversal of 472988880 is 88889274.

472988880 is a `hidden beast` number, since 472 + 98 + 8 + 8 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61911 + ... + 69129.

It is an arithmetic number, because the mean of its divisors is an integer number (8147048).

Almost surely, 2^472988880 is an apocalyptic number.

472988880 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 472988880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977645760).

472988880 is an abundant number, since it is smaller than the sum of its proper divisors (1482302640).

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

472988880 is a wasteful number, since it uses less digits than its factorization.

472988880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7258 (or 7249 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 472988880 is about 21748.3075203566. The cubic root of 472988880 is about 779.1426477133.

The spelling of 472988880 in words is "four hundred seventy-two million, nine hundred eighty-eight thousand, eight hundred eighty".