479825364480 has 960 divisors, whose sum is σ = 2040754383360. Its totient is φ = 93817405440.

The previous prime is 479825364479. The next prime is 479825364547. The reversal of 479825364480 is 84463528974.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110582151 + ... + 110586489.

It is an arithmetic number, because the mean of its divisors is an integer number (2125785816).

Almost surely, 2^479825364480 is an apocalyptic number.

479825364480 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 479825364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020377191680).

479825364480 is an abundant number, since it is smaller than the sum of its proper divisors (1560929018880).

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

479825364480 is a wasteful number, since it uses less digits than its factorization.

479825364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 479825364480 in words is "four hundred seventy-nine billion, eight hundred twenty-five million, three hundred sixty-four thousand, four hundred eighty".