479180000 has 240 divisors, whose sum is σ = 1350130320. Its totient is φ = 165888000.

The previous prime is 479179931. The next prime is 479180011. The reversal of 479180000 is 81974.

It is a super-2 number, since 2×479180000² = 459226944800000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4939952 + ... + 4940048.

It is an arithmetic number, because the mean of its divisors is an integer number (5625543).

Almost surely, 2^479180000 is an apocalyptic number.

479180000 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 479180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675065160).

479180000 is an abundant number, since it is smaller than the sum of its proper divisors (870950320).

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

479180000 is a wasteful number, since it uses less digits than its factorization.

479180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 479180000 is about 21890.1804469493. The cubic root of 479180000 is about 782.5274141743.

It can be divided in two parts, 47 and 9180000, that multiplied together give a triangular number (431460000 = T₂₉₃₇₅).

The spelling of 479180000 in words is "four hundred seventy-nine million, one hundred eighty thousand".