479073210 has 256 divisors, whose sum is σ = 1528823808. Its totient is φ = 93139200.

The previous prime is 479073169. The next prime is 479073211. The reversal of 479073210 is 12370974.

It is a super-2 number, since 2×479073210² = 459022281079408200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (479073211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3772167 + ... + 3772293.

It is an arithmetic number, because the mean of its divisors is an integer number (5971968).

Almost surely, 2^479073210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479073210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764411904).

479073210 is an abundant number, since it is smaller than the sum of its proper divisors (1049750598).

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

479073210 is a wasteful number, since it uses less digits than its factorization.

479073210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 479073210 is about 21887.7410894775. The cubic root of 479073210 is about 782.4692785320.

The spelling of 479073210 in words is "four hundred seventy-nine million, seventy-three thousand, two hundred ten".