479692800 has 288 divisors, whose sum is σ = 1767074400. Its totient is φ = 127549440.

The previous prime is 479692777. The next prime is 479692831. The reversal of 479692800 is 8296974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 1382227 + ... + 1382573.

It is an arithmetic number, because the mean of its divisors is an integer number (6135675).

Almost surely, 2^479692800 is an apocalyptic number.

479692800 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 479692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883537200).

479692800 is an abundant number, since it is smaller than the sum of its proper divisors (1287381600).

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

479692800 is a wasteful number, since it uses less digits than its factorization.

479692800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 357 counting only the distinct ones).

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

The square root of 479692800 is about 21901.8903293757. The cubic root of 479692800 is about 782.8064582344.

The spelling of 479692800 in words is "four hundred seventy-nine million, six hundred ninety-two thousand, eight hundred".