479025468000 has 768 divisors, whose sum is σ = 1797457858560. Its totient is φ = 123840000000.

The previous prime is 479025467989. The next prime is 479025468029. The reversal of 479025468000 is 864520974.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 1111427785 + ... + 1111428215.

It is an arithmetic number, because the mean of its divisors is an integer number (2340439920).

Almost surely, 2^479025468000 is an apocalyptic number.

479025468000 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 479025468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898728929280).

479025468000 is an abundant number, since it is smaller than the sum of its proper divisors (1318432390560).

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

479025468000 is a wasteful number, since it uses less digits than its factorization.

479025468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 479025468000 its reverse (864520974), we get a palindrome (479889988974).

The spelling of 479025468000 in words is "four hundred seventy-nine billion, twenty-five million, four hundred sixty-eight thousand".