460715137600 has 189 divisors, whose sum is σ = 1154670104041. Its totient is φ = 180930265600.

The previous prime is 460715137583. The next prime is 460715137601. The reversal of 460715137600 is 6731517064.

The square root of 460715137600 is 678760.

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., 165857449536 + 294857688064 = 407256^2 + 543008^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460715137601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1927678281 + ... + 1927678519.

Almost surely, 2^460715137600 is an apocalyptic number.

460715137600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

460715137600 is the 678760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460715137600

460715137600 is an abundant number, since it is smaller than the sum of its proper divisors (693954966441).

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

460715137600 is an frugal number, since it uses more digits than its factorization.

460715137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 460715137600 in words is "four hundred sixty billion, seven hundred fifteen million, one hundred thirty-seven thousand, six hundred".