479024640 has 240 divisors, whose sum is σ = 1758021408. Its totient is φ = 120127488.

The previous prime is 479024603. The next prime is 479024647. The reversal of 479024640 is 46420974.

479024640 is a `hidden beast` number, since 4 + 7 + 9 + 0 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 479024595 and 479024604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479024647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391069 + ... + 392291.

Almost surely, 2^479024640 is an apocalyptic number.

479024640 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 479024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879010704).

479024640 is an abundant number, since it is smaller than the sum of its proper divisors (1278996768).

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

479024640 is a wasteful number, since it uses less digits than its factorization.

479024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 479024640 is about 21886.6315361684. The cubic root of 479024640 is about 782.4428345450.

The spelling of 479024640 in words is "four hundred seventy-nine million, twenty-four thousand, six hundred forty".