479024000 has 384 divisors, whose sum is σ = 1523733120. Its totient is φ = 148377600.

The previous prime is 479023981. The next prime is 479024023. The reversal of 479024000 is 420974.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10191977 + ... + 10192023.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^479024000 is an apocalyptic number.

479024000 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 479024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761866560).

479024000 is an abundant number, since it is smaller than the sum of its proper divisors (1044709120).

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

479024000 is a wasteful number, since it uses less digits than its factorization.

479024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 479024000 is about 21886.6169153663. The cubic root of 479024000 is about 782.4424860844.

Adding to 479024000 its reverse (420974), we get a palindrome (479444974).

The spelling of 479024000 in words is "four hundred seventy-nine million, twenty-four thousand".