478372401 has 24 divisors (see below), whose sum is σ = 787910760. Its totient is φ = 277065216.

The previous prime is 478372399. The next prime is 478372403. The reversal of 478372401 is 104273874.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (478372399) and next prime (478372403).

It can be written as a sum of positive squares in 4 ways, for example, as 104530176 + 373842225 = 10224^2 + 19335^2 .

It is not a de Polignac number, because 478372401 - 2¹ = 478372399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (478372403) 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, 118266 + ... + 122243.

It is an arithmetic number, because the mean of its divisors is an integer number (32829615).

Almost surely, 2^478372401 is an apocalyptic number.

It is an amenable number.

478372401 is a deficient number, since it is larger than the sum of its proper divisors (309538359).

478372401 is a wasteful number, since it uses less digits than its factorization.

478372401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240545 (or 240542 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 478372401 is about 21871.7260635735. The cubic root of 478372401 is about 782.0875490401.

The spelling of 478372401 in words is "four hundred seventy-eight million, three hundred seventy-two thousand, four hundred one".