471953952 has 120 divisors (see below), whose sum is σ = 1422177372. Its totient is φ = 153446400.

The previous prime is 471953947. The next prime is 471954001. The reversal of 471953952 is 259359174.

It is a happy number.

471953952 is a `hidden beast` number, since 471 + 95 + 3 + 95 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 419594256 + 52359696 = 20484^2 + 7236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 471953898 and 471953907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104052 + ... + 108492.

Almost surely, 2^471953952 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 471953952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711088686).

471953952 is an abundant number, since it is smaller than the sum of its proper divisors (950223420).

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

471953952 is a wasteful number, since it uses less digits than its factorization.

471953952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504 (or 4487 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 471953952 is about 21724.5011910515. The cubic root of 471953952 is about 778.5739624785.

The spelling of 471953952 in words is "four hundred seventy-one million, nine hundred fifty-three thousand, nine hundred fifty-two".