460263818137600 has 117 divisors (see below), whose sum is σ = 1141331955181453. Its totient is φ = 184102781173760.

The previous prime is 460263818137589. The next prime is 460263818137759. The reversal of 460263818137600 is 6731818362064.

The square root of 460263818137600 is 21453760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 165694974529536 + 294568843608064 = 12872256^2 + 17163008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6865169679 + ... + 6865236721.

Almost surely, 2^{460263818137600} is an apocalyptic number.

460263818137600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

460263818137600 is the 21453760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460263818137600

460263818137600 is an abundant number, since it is smaller than the sum of its proper divisors (681068137043853).

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

460263818137600 is an frugal number, since it uses more digits than its factorization.

460263818137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134120 (or 67050 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 460263818137600 in words is "four hundred sixty trillion, two hundred sixty-three billion, eight hundred eighteen million, one hundred thirty-seven thousand, six hundred".