479028000 has 384 divisors, whose sum is σ = 1811496960. Its totient is φ = 109440000.

The previous prime is 479027963. The next prime is 479028029. The reversal of 479028000 is 820974.

It is a super-4 number, since 4×479028000⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2507905 + ... + 2508095.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2^479028000 is an apocalyptic number.

479028000 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 479028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905748480).

479028000 is an abundant number, since it is smaller than the sum of its proper divisors (1332468960).

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

479028000 is a wasteful number, since it uses less digits than its factorization.

479028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 479028000 is about 21886.7082952188. The cubic root of 479028000 is about 782.4446639580. Note that the first 3 decimals are identical.

Adding to 479028000 its reverse (820974), we get a palindrome (479848974).

The spelling of 479028000 in words is "four hundred seventy-nine million, twenty-eight thousand".