472301952 has 64 divisors (see below), whose sum is σ = 1257211200. Its totient is φ = 157100544.

The previous prime is 472301923. The next prime is 472301971. The reversal of 472301952 is 259103274.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236703 + ... + 238689.

It is an arithmetic number, because the mean of its divisors is an integer number (19643925).

Almost surely, 2^472301952 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 472301952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628605600).

472301952 is an abundant number, since it is smaller than the sum of its proper divisors (784909248).

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

472301952 is a wasteful number, since it uses less digits than its factorization.

472301952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 472301952 is about 21732.5091050251. The cubic root of 472301952 is about 778.7652785809.

The spelling of 472301952 in words is "four hundred seventy-two million, three hundred one thousand, nine hundred fifty-two".