480501427392 has 336 divisors, whose sum is σ = 1595687009280. Its totient is φ = 135402430464.

The previous prime is 480501427387. The next prime is 480501427397. The reversal of 480501427392 is 293724105084.

480501427392 is a `hidden beast` number, since 480 + 5 + 0 + 14 + 2 + 73 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (480501427387) and next prime (480501427397).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (480501427397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337667193 + ... + 337668615.

It is an arithmetic number, because the mean of its divisors is an integer number (4749068480).

Almost surely, 2^480501427392 is an apocalyptic number.

480501427392 is a gapful number since it is divisible by the number (42) 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 480501427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797843504640).

480501427392 is an abundant number, since it is smaller than the sum of its proper divisors (1115185581888).

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

480501427392 is a wasteful number, since it uses less digits than its factorization.

480501427392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2527 counting only the distinct ones).

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

The spelling of 480501427392 in words is "four hundred eighty billion, five hundred one million, four hundred twenty-seven thousand, three hundred ninety-two".