479015460 has 576 divisors, whose sum is σ = 2037934080. Its totient is φ = 87920640.

The previous prime is 479015437. The next prime is 479015461. The reversal of 479015460 is 64510974.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (479015461) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4476727 + ... + 4476833.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^479015460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479015460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018967040).

479015460 is an abundant number, since it is smaller than the sum of its proper divisors (1558918620).

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

479015460 is a wasteful number, since it uses less digits than its factorization.

479015460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 479015460 is about 21886.4218181045. The cubic root of 479015460 is about 782.4378362836.

It can be divided in two parts, 47901 and 5460, that added together give a square (53361 = 231²).

The spelling of 479015460 in words is "four hundred seventy-nine million, fifteen thousand, four hundred sixty".