478272465 has 192 divisors, whose sum is σ = 1041868800. Its totient is φ = 206997120.

The previous prime is 478272461. The next prime is 478272479. The reversal of 478272465 is 564272874.

It is a happy number.

478272465 is a `hidden beast` number, since 47 + 82 + 72 + 465 = 666.

It is not a de Polignac number, because 478272465 - 2² = 478272461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (752640) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 478272465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478272461) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7138362 + ... + 7138428.

It is an arithmetic number, because the mean of its divisors is an integer number (5426400).

Almost surely, 2^478272465 is an apocalyptic number.

478272465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

478272465 is an abundant number, since it is smaller than the sum of its proper divisors (563596335).

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

478272465 is a wasteful number, since it uses less digits than its factorization.

478272465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 478272465 is about 21869.4413508896. The cubic root of 478272465 is about 782.0330837014.

The spelling of 478272465 in words is "four hundred seventy-eight million, two hundred seventy-two thousand, four hundred sixty-five".