460425364000 has 480 divisors, whose sum is σ = 1331925783552. Its totient is φ = 156408000000.

The previous prime is 460425363949. The next prime is 460425364019. The reversal of 460425364000 is 463524064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1834363875 + ... + 1834364125.

Almost surely, 2^460425364000 is an apocalyptic number.

460425364000 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 460425364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665962891776).

460425364000 is an abundant number, since it is smaller than the sum of its proper divisors (871500419552).

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

460425364000 is an equidigital number, since it uses as much as digits as its factorization.

460425364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 460425364000 its reverse (463524064), we get a palindrome (460888888064).

The spelling of 460425364000 in words is "four hundred sixty billion, four hundred twenty-five million, three hundred sixty-four thousand".