480906139392 has 540 divisors, whose sum is σ = 1681292228616. Its totient is φ = 136315146240.

The previous prime is 480906139291. The next prime is 480906139411. The reversal of 480906139392 is 293931609084.

480906139392 is a `hidden beast` number, since 4 + 80 + 90 + 6 + 1 + 393 + 92 = 666.

It is a super-3 number, since 3×480906139392³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 133102578 + ... + 133106190.

Almost surely, 2^480906139392 is an apocalyptic number.

480906139392 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 480906139392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840646114308).

480906139392 is an abundant number, since it is smaller than the sum of its proper divisors (1200386089224).

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

480906139392 is a wasteful number, since it uses less digits than its factorization.

480906139392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 480906139392 in words is "four hundred eighty billion, nine hundred six million, one hundred thirty-nine thousand, three hundred ninety-two".