478617600 has 336 divisors, whose sum is σ = 1706453280. Its totient is φ = 117964800.

The previous prime is 478617599. The next prime is 478617683. The reversal of 478617600 is 6716874.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11673580 + ... + 11673620.

It is an arithmetic number, because the mean of its divisors is an integer number (5078730).

Almost surely, 2^478617600 is an apocalyptic number.

478617600 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 478617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853226640).

478617600 is an abundant number, since it is smaller than the sum of its proper divisors (1227835680).

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

478617600 is a wasteful number, since it uses less digits than its factorization.

478617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 478617600 is about 21877.3307329756. The cubic root of 478617600 is about 782.2211509015.

The spelling of 478617600 in words is "four hundred seventy-eight million, six hundred seventeen thousand, six hundred".