479460384 has 384 divisors, whose sum is σ = 1666344960. Its totient is φ = 134369280.

The previous prime is 479460379. The next prime is 479460389. The reversal of 479460384 is 483064974.

479460384 = T₃₇₇ + T₃₇₈ + ... + T₁₄₃₀.

It is an interprime number because it is at equal distance from previous prime (479460379) and next prime (479460389).

It is not an unprimeable number, because it can be changed into a prime (479460389) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15466449 + ... + 15466479.

It is an arithmetic number, because the mean of its divisors is an integer number (4339440).

Almost surely, 2^479460384 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 479460384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833172480).

479460384 is an abundant number, since it is smaller than the sum of its proper divisors (1186884576).

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

479460384 is a wasteful number, since it uses less digits than its factorization.

479460384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 479460384 is about 21896.5838431478. The cubic root of 479460384 is about 782.6800119358.

The spelling of 479460384 in words is "four hundred seventy-nine million, four hundred sixty thousand, three hundred eighty-four".