479119680 has 336 divisors, whose sum is σ = 1810658304. Its totient is φ = 115568640.

The previous prime is 479119651. The next prime is 479119691. The reversal of 479119680 is 86911974.

It is a happy number.

479119680 is a `hidden beast` number, since 479 + 11 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2508385 + ... + 2508575.

It is an arithmetic number, because the mean of its divisors is an integer number (5388864).

Almost surely, 2^479119680 is an apocalyptic number.

479119680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905329152).

479119680 is an abundant number, since it is smaller than the sum of its proper divisors (1331538624).

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

479119680 is a wasteful number, since it uses less digits than its factorization.

479119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 479119680 is about 21888.8026168633. The cubic root of 479119680 is about 782.4945774989.

The spelling of 479119680 in words is "four hundred seventy-nine million, one hundred nineteen thousand, six hundred eighty".