472445952 has 264 divisors, whose sum is σ = 1463621376. Its totient is φ = 135168000.

The previous prime is 472445951. The next prime is 472445957. The reversal of 472445952 is 259544274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×472445952² = 446410355122372608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472445951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11523052 + ... + 11523092.

Almost surely, 2^472445952 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 472445952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731810688).

472445952 is an abundant number, since it is smaller than the sum of its proper divisors (991175424).

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

472445952 is a wasteful number, since it uses less digits than its factorization.

472445952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 472445952 is about 21735.8218616182. The cubic root of 472445952 is about 778.8444163758.

The spelling of 472445952 in words is "four hundred seventy-two million, four hundred forty-five thousand, nine hundred fifty-two".