478253952 has 288 divisors, whose sum is σ = 1566059040. Its totient is φ = 139898880.

The previous prime is 478253929. The next prime is 478253977. The reversal of 478253952 is 259352874.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 478253898 and 478253907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6551388 + ... + 6551460.

It is an arithmetic number, because the mean of its divisors is an integer number (5437705).

Almost surely, 2^478253952 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 478253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783029520).

478253952 is an abundant number, since it is smaller than the sum of its proper divisors (1087805088).

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

478253952 is a wasteful number, since it uses less digits than its factorization.

478253952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 478253952 is about 21869.0180849530. The cubic root of 478253952 is about 782.0229932429.

The spelling of 478253952 in words is "four hundred seventy-eight million, two hundred fifty-three thousand, nine hundred fifty-two".