472833504 has 384 divisors, whose sum is σ = 1676505600. Its totient is φ = 127733760.

The previous prime is 472833503. The next prime is 472833523. The reversal of 472833504 is 405338274.

It is a happy number.

472833504 is a `hidden beast` number, since 4 + 72 + 83 + 3 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472833503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5312692 + ... + 5312780.

It is an arithmetic number, because the mean of its divisors is an integer number (4365900).

Almost surely, 2^472833504 is an apocalyptic number.

472833504 is a gapful number since it is divisible by the number (44) 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 472833504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838252800).

472833504 is an abundant number, since it is smaller than the sum of its proper divisors (1203672096).

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

472833504 is a wasteful number, since it uses less digits than its factorization.

472833504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 472833504 is about 21744.7350869124. The cubic root of 472833504 is about 779.0573227148.

The spelling of 472833504 in words is "four hundred seventy-two million, eight hundred thirty-three thousand, five hundred four".