472763424 has 96 divisors (see below), whose sum is σ = 1427642496. Its totient is φ = 134184960.

The previous prime is 472763383. The next prime is 472763449. The reversal of 472763424 is 424367274.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103264 + ... + 107744.

It is an arithmetic number, because the mean of its divisors is an integer number (14871276).

Almost surely, 2^472763424 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 472763424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713821248).

472763424 is an abundant number, since it is smaller than the sum of its proper divisors (954879072).

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

472763424 is a wasteful number, since it uses less digits than its factorization.

472763424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4658 (or 4650 counting only the distinct ones).

The product of its digits is 225792, while the sum is 39.

The square root of 472763424 is about 21743.1236026473. The cubic root of 472763424 is about 779.0188320451.

The spelling of 472763424 in words is "four hundred seventy-two million, seven hundred sixty-three thousand, four hundred twenty-four".