460408583880 has 768 divisors, whose sum is σ = 1802870784000. Its totient is φ = 99712456704.

The previous prime is 460408583839. The next prime is 460408583881. The reversal of 460408583880 is 88385804064.

It is a super-2 number, since 2×460408583880² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (460408583881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 698646991 + ... + 698647649.

It is an arithmetic number, because the mean of its divisors is an integer number (2347488000).

Almost surely, 2^460408583880 is an apocalyptic number.

460408583880 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 460408583880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901435392000).

460408583880 is an abundant number, since it is smaller than the sum of its proper divisors (1342462200120).

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

460408583880 is a wasteful number, since it uses less digits than its factorization.

460408583880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 460408583880 in words is "four hundred sixty billion, four hundred eight million, five hundred eighty-three thousand, eight hundred eighty".