472648176 has 320 divisors, whose sum is σ = 1823216640. Its totient is φ = 113218560.

The previous prime is 472648157. The next prime is 472648181. The reversal of 472648176 is 671846274.

472648176 is a `hidden beast` number, since 472 + 6 + 4 + 8 + 176 = 666.

It is a super-2 number, since 2×472648176² = 446792596552253952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431886 + ... + 432978.

It is an arithmetic number, because the mean of its divisors is an integer number (5697552).

Almost surely, 2^472648176 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 472648176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911608320).

472648176 is an abundant number, since it is smaller than the sum of its proper divisors (1350568464).

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

472648176 is a wasteful number, since it uses less digits than its factorization.

472648176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1129 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 472648176 is about 21740.4732239204. The cubic root of 472648176 is about 778.9555250757.

The spelling of 472648176 in words is "four hundred seventy-two million, six hundred forty-eight thousand, one hundred seventy-six".