479073312 has 96 divisors (see below), whose sum is σ = 1410393600. Its totient is φ = 158194944.

The previous prime is 479073271. The next prime is 479073313. The reversal of 479073312 is 213370974.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×479073312² = 459022476541298688, which contains 22 as substring.

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 (479073313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91633 + ... + 96719.

It is an arithmetic number, because the mean of its divisors is an integer number (14691600).

Almost surely, 2^479073312 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 479073312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705196800).

479073312 is an abundant number, since it is smaller than the sum of its proper divisors (931320288).

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

479073312 is a wasteful number, since it uses less digits than its factorization.

479073312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 479073312 is about 21887.7434195488. The cubic root of 479073312 is about 782.4693340641.

The spelling of 479073312 in words is "four hundred seventy-nine million, seventy-three thousand, three hundred twelve".