480338001792 has 576 divisors, whose sum is σ = 1635537037680. Its totient is φ = 134708428800.

The previous prime is 480338001761. The next prime is 480338001821. The reversal of 480338001792 is 297100833084.

480338001792 is a `hidden beast` number, since 480 + 3 + 3 + 80 + 0 + 1 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×480338001792² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144547843 + ... + 144551165.

Almost surely, 2^480338001792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480338001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817768518840).

480338001792 is an abundant number, since it is smaller than the sum of its proper divisors (1155199035888).

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

480338001792 is a wasteful number, since it uses less digits than its factorization.

480338001792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 480338001792 in words is "four hundred eighty billion, three hundred thirty-eight million, one thousand, seven hundred ninety-two".