472757824 has 224 divisors, whose sum is σ = 1261725696. Its totient is φ = 170311680.

The previous prime is 472757821. The next prime is 472757837. The reversal of 472757824 is 428757274.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (472757821) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4873744 + ... + 4873840.

It is an arithmetic number, because the mean of its divisors is an integer number (5632704).

Almost surely, 2^472757824 is an apocalyptic number.

472757824 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 472757824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630862848).

472757824 is an abundant number, since it is smaller than the sum of its proper divisors (788967872).

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

472757824 is a wasteful number, since it uses less digits than its factorization.

472757824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its digits is 878080, while the sum is 46.

The square root of 472757824 is about 21742.9948259204. The cubic root of 472757824 is about 779.0157561425.

It can be divided in two parts, 472 and 757824, that added together give a triangular number (758296 = T₁₂₃₁).

The spelling of 472757824 in words is "four hundred seventy-two million, seven hundred fifty-seven thousand, eight hundred twenty-four".