479260800 has 360 divisors, whose sum is σ = 1810663965. Its totient is φ = 124830720.

The previous prime is 479260799. The next prime is 479260813. The reversal of 479260800 is 8062974.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

479260800 is a `hidden beast` number, since 47 + 9 + 2 + 608 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 469675584 + 9585216 = 21672^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15480.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11145579 + ... + 11145621.

Almost surely, 2^479260800 is an apocalyptic number.

479260800 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 479260800

479260800 is an abundant number, since it is smaller than the sum of its proper divisors (1331403165).

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

479260800 is an equidigital number, since it uses as much as digits as its factorization.

479260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 479260800 is about 21892.0259455355. The cubic root of 479260800 is about 782.5713953237.

The spelling of 479260800 in words is "four hundred seventy-nine million, two hundred sixty thousand, eight hundred".