479577000 has 256 divisors, whose sum is σ = 1754887680. Its totient is φ = 106752000.

The previous prime is 479576947. The next prime is 479577013. The reversal of 479577000 is 775974.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 479577000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 860722 + ... + 861278.

It is an arithmetic number, because the mean of its divisors is an integer number (6855030).

Almost surely, 2^479577000 is an apocalyptic number.

479577000 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 479577000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

479577000 is an abundant number, since it is smaller than the sum of its proper divisors (1275310680).

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

479577000 is a wasteful number, since it uses less digits than its factorization.

479577000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 479577000 is about 21899.2465623820. The cubic root of 479577000 is about 782.7434621647.

The spelling of 479577000 in words is "four hundred seventy-nine million, five hundred seventy-seven thousand".