478296900 has 135 divisors (see below), whose sum is σ = 1556856301. Its totient is φ = 127545840.

The previous prime is 478296883. The next prime is 478296901. The reversal of 478296900 is 9692874.

It is a happy number.

The square root of 478296900 is 21870.

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

478296900 is a `hidden beast` number, since 478 + 2 + 96 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 172186884 + 306110016 = 13122^2 + 17496^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×478296900² = 457535849099220000, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (478296901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 95659378 + ... + 95659382.

Almost surely, 2^478296900 is an apocalyptic number.

478296900 is the 21870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478296900

478296900 is an abundant number, since it is smaller than the sum of its proper divisors (1078559401).

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

478296900 is an frugal number, since it uses more digits than its factorization.

478296900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The cubic root of 478296900 is about 782.0464015306.

The spelling of 478296900 in words is "four hundred seventy-eight million, two hundred ninety-six thousand, nine hundred".