478467200 has 48 divisors (see below), whose sum is σ = 1181971410. Its totient is φ = 191385600.

The previous prime is 478467133. The next prime is 478467233. The reversal of 478467200 is 2764874.

It can be written as a sum of positive squares in 3 ways, for example, as 452497984 + 25969216 = 21272^2 + 5096^2 .

It is a super-2 number, since 2×478467200² = 457861722951680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71561 + ... + 77960.

Almost surely, 2^478467200 is an apocalyptic number.

478467200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478467200 is an abundant number, since it is smaller than the sum of its proper divisors (703504210).

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

478467200 is a wasteful number, since it uses less digits than its factorization.

478467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149545 (or 149528 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 478467200 is about 21873.8931148527. The cubic root of 478467200 is about 782.1392076924.

The spelling of 478467200 in words is "four hundred seventy-eight million, four hundred sixty-seven thousand, two hundred".