460622525440 has 352 divisors, whose sum is σ = 1425144326400. Its totient is φ = 138616504320.

The previous prime is 460622525437. The next prime is 460622525453. The reversal of 460622525440 is 44525226064.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×460622525440² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 460622525393 and 460622525402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11412816 + ... + 11453104.

Almost surely, 2^460622525440 is an apocalyptic number.

460622525440 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 460622525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712572163200).

460622525440 is an abundant number, since it is smaller than the sum of its proper divisors (964521800960).

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

460622525440 is a wasteful number, since it uses less digits than its factorization.

460622525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40361 (or 40343 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 460622525440 in words is "four hundred sixty billion, six hundred twenty-two million, five hundred twenty-five thousand, four hundred forty".