478161600 has 504 divisors, whose sum is σ = 1938893760. Its totient is φ = 102574080.

The previous prime is 478161587. The next prime is 478161613. The reversal of 478161600 is 6161874.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (478161587) and next prime (478161613).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4468747 + ... + 4468853.

Almost surely, 2^478161600 is an apocalyptic number.

478161600 is a gapful number since it is divisible by the number (40) 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 478161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969446880).

478161600 is an abundant number, since it is smaller than the sum of its proper divisors (1460732160).

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

478161600 is a wasteful number, since it uses less digits than its factorization.

478161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 478161600 is about 21866.9065027498. The cubic root of 478161600 is about 781.9726531559.

The spelling of 478161600 in words is "four hundred seventy-eight million, one hundred sixty-one thousand, six hundred".