460272250368 has 480 divisors, whose sum is σ = 1623630143520. Its totient is φ = 128291143680.

The previous prime is 460272250363. The next prime is 460272250423. The reversal of 460272250368 is 863052272064.

460272250368 is a `hidden beast` number, since 4 + 60 + 2 + 7 + 22 + 503 + 68 = 666.

It is a super-2 number, since 2×460272250368² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460272250363) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 27764130 + ... + 27780702.

It is an arithmetic number, because the mean of its divisors is an integer number (3382562799).

Almost surely, 2^460272250368 is an apocalyptic number.

460272250368 is a gapful number since it is divisible by the number (48) 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 460272250368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811815071760).

460272250368 is an abundant number, since it is smaller than the sum of its proper divisors (1163357893152).

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

460272250368 is a wasteful number, since it uses less digits than its factorization.

460272250368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16655 (or 16626 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 460272250368 in words is "four hundred sixty billion, two hundred seventy-two million, two hundred fifty thousand, three hundred sixty-eight".