478734400 has 63 divisors (see below), whose sum is σ = 1180143309. Its totient is φ = 191143680.

The previous prime is 478734383. The next prime is 478734401. The reversal of 478734400 is 4437874.

It is a happy number.

The square root of 478734400 is 21880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 172344384 + 306390016 = 13128^2 + 17504^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 478734400.

It is not an unprimeable number, because it can be changed into a prime (478734401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 874927 + ... + 875473.

Almost surely, 2^478734400 is an apocalyptic number.

478734400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

478734400 is the 21880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478734400

478734400 is an abundant number, since it is smaller than the sum of its proper divisors (701408909).

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

478734400 is an frugal number, since it uses more digits than its factorization.

478734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The cubic root of 478734400 is about 782.2847758075.

The spelling of 478734400 in words is "four hundred seventy-eight million, seven hundred thirty-four thousand, four hundred".