472833648 has 240 divisors, whose sum is σ = 1642769856. Its totient is φ = 123863040.

The previous prime is 472833637. The next prime is 472833667. The reversal of 472833648 is 846338274.

472833648 is a `hidden beast` number, since 4 + 7 + 283 + 364 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 702240 + ... + 702912.

Almost surely, 2^472833648 is an apocalyptic number.

472833648 is a gapful number since it is divisible by the number (48) 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 472833648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821384928).

472833648 is an abundant number, since it is smaller than the sum of its proper divisors (1169936208).

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

472833648 is a wasteful number, since it uses less digits than its factorization.

472833648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 743 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 472833648 is about 21744.7383980585. The cubic root of 472833648 is about 779.0574018013.

The spelling of 472833648 in words is "four hundred seventy-two million, eight hundred thirty-three thousand, six hundred forty-eight".