479899728 has 360 divisors, whose sum is σ = 1775198880. Its totient is φ = 124104960.

The previous prime is 479899727. The next prime is 479899729. The reversal of 479899728 is 827998974.

479899728 is a `hidden beast` number, since 479 + 8 + 99 + 72 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (479899727) and next prime (479899729).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

Its product of digits (18289152) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479899723) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2095518 + ... + 2095746.

It is an arithmetic number, because the mean of its divisors is an integer number (4931108).

Almost surely, 2^479899728 is an apocalyptic number.

479899728 is a gapful number since it is divisible by the number (48) 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 479899728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887599440).

479899728 is an abundant number, since it is smaller than the sum of its proper divisors (1295299152).

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

479899728 is a wasteful number, since it uses less digits than its factorization.

479899728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 252 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The square root of 479899728 is about 21906.6137958380. The cubic root of 479899728 is about 782.9190033802.

The spelling of 479899728 in words is "four hundred seventy-nine million, eight hundred ninety-nine thousand, seven hundred twenty-eight".