460042387434 has 128 divisors (see below), whose sum is σ = 1206449602560. Its totient is φ = 127158595200.

The previous prime is 460042387339. The next prime is 460042387451. The reversal of 460042387434 is 434783240064.

460042387434 is a `hidden beast` number, since 4 + 600 + 4 + 2 + 3 + 8 + 7 + 4 + 34 = 666.

It is a super-2 number, since 2×460042387434² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 460042387434.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56160279 + ... + 56168469.

It is an arithmetic number, because the mean of its divisors is an integer number (9425387520).

Almost surely, 2^460042387434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460042387434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603224801280).

460042387434 is an abundant number, since it is smaller than the sum of its proper divisors (746407215126).

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

460042387434 is a wasteful number, since it uses less digits than its factorization.

460042387434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13033 (or 13027 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 460042387434 in words is "four hundred sixty billion, forty-two million, three hundred eighty-seven thousand, four hundred thirty-four".