479242764 has 432 divisors, whose sum is σ = 1744619520. Its totient is φ = 111196800.

The previous prime is 479242763. The next prime is 479242769. The reversal of 479242764 is 467242974.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479242763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15459429 + ... + 15459459.

Almost surely, 2^479242764 is an apocalyptic number.

479242764 is a gapful number since it is divisible by the number (44) 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 479242764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872309760).

479242764 is an abundant number, since it is smaller than the sum of its proper divisors (1265376756).

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

479242764 is a wasteful number, since it uses less digits than its factorization.

479242764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 479242764 is about 21891.6140108490. The cubic root of 479242764 is about 782.5615783759.

The spelling of 479242764 in words is "four hundred seventy-nine million, two hundred forty-two thousand, seven hundred sixty-four".