479479000 has 256 divisors, whose sum is σ = 1509580800. Its totient is φ = 137664000.

The previous prime is 479478997. The next prime is 479479031. The reversal of 479479000 is 974974.

It is a super-2 number, since 2×479479000² = 459800222882000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 1000761 + ... + 1001239.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2^479479000 is an apocalyptic number.

479479000 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 479479000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754790400).

479479000 is an abundant number, since it is smaller than the sum of its proper divisors (1030101800).

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

479479000 is a wasteful number, since it uses less digits than its factorization.

479479000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 479479000 is about 21897.0089281619. The cubic root of 479479000 is about 782.6901415058.

The spelling of 479479000 in words is "four hundred seventy-nine million, four hundred seventy-nine thousand".