465286440744 has 192 divisors, whose sum is σ = 1403311703040. Its totient is φ = 138597488640.

The previous prime is 465286440737. The next prime is 465286440757. The reversal of 465286440744 is 447044682564.

465286440744 is a `hidden beast` number, since 4 + 6 + 52 + 86 + 440 + 74 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1895349 + ... + 2126715.

It is an arithmetic number, because the mean of its divisors is an integer number (7308915120).

Almost surely, 2^465286440744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465286440744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701655851520).

465286440744 is an abundant number, since it is smaller than the sum of its proper divisors (938025262296).

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

465286440744 is a wasteful number, since it uses less digits than its factorization.

465286440744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231480 (or 231473 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 465286440744 in words is "four hundred sixty-five billion, two hundred eighty-six million, four hundred forty thousand, seven hundred forty-four".