479110464 has 252 divisors, whose sum is σ = 1639746784. Its totient is φ = 136048896.

The previous prime is 479110459. The next prime is 479110469. The reversal of 479110464 is 464011974.

It is an interprime number because it is at equal distance from previous prime (479110459) and next prime (479110469).

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479110469) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2939247 + ... + 2939409.

Almost surely, 2^479110464 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 479110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819873392).

479110464 is an abundant number, since it is smaller than the sum of its proper divisors (1160636320).

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

479110464 is an frugal number, since it uses more digits than its factorization.

479110464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 479110464 is about 21888.5920972547. The cubic root of 479110464 is about 782.4895602999.

The spelling of 479110464 in words is "four hundred seventy-nine million, one hundred ten thousand, four hundred sixty-four".