478867800 has 96 divisors (see below), whose sum is σ = 1498564800. Its totient is φ = 126487680.

The previous prime is 478867787. The next prime is 478867813. The reversal of 478867800 is 8768874.

It is an interprime number because it is at equal distance from previous prime (478867787) and next prime (478867813).

It is a self number, because there is not a number n which added to its sum of digits gives 478867800.

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, 60471 + ... + 67929.

It is an arithmetic number, because the mean of its divisors is an integer number (15610050).

Almost surely, 2^478867800 is an apocalyptic number.

478867800 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 478867800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749282400).

478867800 is an abundant number, since it is smaller than the sum of its proper divisors (1019697000).

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

478867800 is a wasteful number, since it uses less digits than its factorization.

478867800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7585 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 478867800 is about 21883.0482337356. The cubic root of 478867800 is about 782.3574306363.

The spelling of 478867800 in words is "four hundred seventy-eight million, eight hundred sixty-seven thousand, eight hundred".