472277952 has 280 divisors, whose sum is σ = 1553419296. Its totient is φ = 141115392.

The previous prime is 472277947. The next prime is 472277957. The reversal of 472277952 is 259772274.

It is an interprime number because it is at equal distance from previous prime (472277947) and next prime (472277957).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 472277898 and 472277907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472277957) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2026828 + ... + 2027060.

Almost surely, 2^472277952 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 472277952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776709648).

472277952 is an abundant number, since it is smaller than the sum of its proper divisors (1081141344).

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

472277952 is a wasteful number, since it uses less digits than its factorization.

472277952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 278 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 472277952 is about 21731.9569298303. The cubic root of 472277952 is about 778.7520873846.

The spelling of 472277952 in words is "four hundred seventy-two million, two hundred seventy-seven thousand, nine hundred fifty-two".