460489222803456 has 4368 divisors, whose sum is σ = 1889778435858432. Its totient is φ = 108627709132800.

The previous prime is 460489222803419. The next prime is 460489222803497. The reversal of 460489222803456 is 654308222984064.

460489222803456 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 8 + 9 + 2 + 2 + 280 + 345 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 460489222803393 and 460489222803402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 8688475901926 + ... + 8688475901978.

Almost surely, 2^{460489222803456} is an apocalyptic number.

460489222803456 is a gapful number since it is divisible by the number (46) 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 460489222803456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944889217929216).

460489222803456 is an abundant number, since it is smaller than the sum of its proper divisors (1429289213054976).

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

460489222803456 is an equidigital number, since it uses as much as digits as its factorization.

460489222803456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 460489222803456 in words is "four hundred sixty trillion, four hundred eighty-nine billion, two hundred twenty-two million, eight hundred three thousand, four hundred fifty-six".