472646880 has 192 divisors, whose sum is σ = 1699548480. Its totient is φ = 122591232.

The previous prime is 472646857. The next prime is 472646891. The reversal of 472646880 is 88646274.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 158362 + ... + 161318.

It is an arithmetic number, because the mean of its divisors is an integer number (8851815).

Almost surely, 2^472646880 is an apocalyptic number.

472646880 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 472646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849774240).

472646880 is an abundant number, since it is smaller than the sum of its proper divisors (1226901600).

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

472646880 is a wasteful number, since it uses less digits than its factorization.

472646880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 472646880 is about 21740.4434177410. The cubic root of 472646880 is about 778.9548131105.

The spelling of 472646880 in words is "four hundred seventy-two million, six hundred forty-six thousand, eight hundred eighty".