479850309120 has 640 divisors, whose sum is σ = 1892604865536. Its totient is φ = 100997922816.

The previous prime is 479850309109. The next prime is 479850309131. The reversal of 479850309120 is 21903058974.

It is an interprime number because it is at equal distance from previous prime (479850309109) and next prime (479850309131).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 479850309120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 529051707 + ... + 529052613.

Almost surely, 2^479850309120 is an apocalyptic number.

479850309120 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 479850309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946302432768).

479850309120 is an abundant number, since it is smaller than the sum of its proper divisors (1412754556416).

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

479850309120 is a wasteful number, since it uses less digits than its factorization.

479850309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 479850309120 in words is "four hundred seventy-nine billion, eight hundred fifty million, three hundred nine thousand, one hundred twenty".