479021597600 has 864 divisors, whose sum is σ = 1532597407488. Its totient is φ = 142276608000.

The previous prime is 479021597573. The next prime is 479021597623. The reversal of 479021597600 is 6795120974.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2868392717 + ... + 2868392883.

It is an arithmetic number, because the mean of its divisors is an integer number (1773839592).

Almost surely, 2^479021597600 is an apocalyptic number.

479021597600 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 479021597600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766298703744).

479021597600 is an abundant number, since it is smaller than the sum of its proper divisors (1053575809888).

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

479021597600 is a wasteful number, since it uses less digits than its factorization.

479021597600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 50.

The spelling of 479021597600 in words is "four hundred seventy-nine billion, twenty-one million, five hundred ninety-seven thousand, six hundred".