479217600 has 168 divisors, whose sum is σ = 1747083120. Its totient is φ = 127779840.

The previous prime is 479217589. The next prime is 479217619. The reversal of 479217600 is 6712974.

It is a happy number.

479217600 is a `hidden beast` number, since 47 + 9 + 2 + 1 + 7 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37654 + ... + 48746.

Almost surely, 2^479217600 is an apocalyptic number.

479217600 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 479217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873541560).

479217600 is an abundant number, since it is smaller than the sum of its proper divisors (1267865520).

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

479217600 is a wasteful number, since it uses less digits than its factorization.

479217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11124 (or 11103 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 479217600 is about 21891.0392626755. The cubic root of 479217600 is about 782.5478812647.

The spelling of 479217600 in words is "four hundred seventy-nine million, two hundred seventeen thousand, six hundred".