480206610432 has 560 divisors, whose sum is σ = 1548606351600. Its totient is φ = 147786301440.

The previous prime is 480206610409. The next prime is 480206610493. The reversal of 480206610432 is 234016602084.

480206610432 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 0 + 6 + 610 + 4 + 32 = 666.

It is a super-2 number, since 2×480206610432² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 516906544 + ... + 516907472.

It is an arithmetic number, because the mean of its divisors is an integer number (2765368485).

Almost surely, 2^480206610432 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 480206610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774303175800).

480206610432 is an abundant number, since it is smaller than the sum of its proper divisors (1068399741168).

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

480206610432 is an equidigital number, since it uses as much as digits as its factorization.

480206610432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 480206610432 in words is "four hundred eighty billion, two hundred six million, six hundred ten thousand, four hundred thirty-two".