478414272 has 112 divisors (see below), whose sum is σ = 1531802880. Its totient is φ = 128643072.

The previous prime is 478414267. The next prime is 478414273. The reversal of 478414272 is 272414874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 478414272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478414273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12379 + ... + 33317.

Almost surely, 2^478414272 is an apocalyptic number.

478414272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765901440).

478414272 is an abundant number, since it is smaller than the sum of its proper divisors (1053388608).

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

478414272 is a wasteful number, since it uses less digits than its factorization.

478414272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20978 (or 20968 counting only the distinct ones).

The product of its digits is 100352, while the sum is 39.

The square root of 478414272 is about 21872.6832373168. The cubic root of 478414272 is about 782.1103665719.

The spelling of 478414272 in words is "four hundred seventy-eight million, four hundred fourteen thousand, two hundred seventy-two".