479969280 has 480 divisors, whose sum is σ = 2013204480. Its totient is φ = 106168320.

The previous prime is 479969261. The next prime is 479969293. The reversal of 479969280 is 82969974.

479969280 is a `hidden beast` number, since 479 + 9 + 6 + 92 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15482865 + ... + 15482895.

It is an arithmetic number, because the mean of its divisors is an integer number (4194176).

Almost surely, 2^479969280 is an apocalyptic number.

479969280 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 479969280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006602240).

479969280 is an abundant number, since it is smaller than the sum of its proper divisors (1533235200).

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

479969280 is an equidigital number, since it uses as much as digits as its factorization.

479969280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 479969280 is about 21908.2012041153. The cubic root of 479969280 is about 782.9568244422.

It can be divided in two parts, 479969 and 280, that added together give a square (480249 = 693²).

The spelling of 479969280 in words is "four hundred seventy-nine million, nine hundred sixty-nine thousand, two hundred eighty".