460722251000 has 128 divisors (see below), whose sum is σ = 1176490560960. Its totient is φ = 167479488000.

The previous prime is 460722250931. The next prime is 460722251021. The reversal of 460722251000 is 152227064.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47922194 + ... + 47931806.

Almost surely, 2^460722251000 is an apocalyptic number.

460722251000 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 460722251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588245280480).

460722251000 is an abundant number, since it is smaller than the sum of its proper divisors (715768309960).

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

460722251000 is a wasteful number, since it uses less digits than its factorization.

460722251000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14002 (or 13988 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

Adding to 460722251000 its reverse (152227064), we get a palindrome (460874478064).

The spelling of 460722251000 in words is "four hundred sixty billion, seven hundred twenty-two million, two hundred fifty-one thousand".