478753272 has 96 divisors (see below), whose sum is σ = 1332177600. Its totient is φ = 155271168.

The previous prime is 478753229. The next prime is 478753273. The reversal of 478753272 is 272357874.

478753272 is a `hidden beast` number, since 47 + 8 + 7 + 532 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478753273) 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, 414648 + ... + 415800.

It is an arithmetic number, because the mean of its divisors is an integer number (13876850).

Almost surely, 2^478753272 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 478753272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666088800).

478753272 is an abundant number, since it is smaller than the sum of its proper divisors (853424328).

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

478753272 is a wasteful number, since it uses less digits than its factorization.

478753272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1310 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 478753272 is about 21880.4312571759. The cubic root of 478753272 is about 782.2950550523.

The spelling of 478753272 in words is "four hundred seventy-eight million, seven hundred fifty-three thousand, two hundred seventy-two".