465029283840 has 720 divisors, whose sum is σ = 1686750791040. Its totient is φ = 108488294400.

The previous prime is 465029283827. The next prime is 465029283853. The reversal of 465029283840 is 48382920564.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (465029283827) and next prime (465029283853).

It is a congruent number.

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, 2597928871 + ... + 2597929049.

It is an arithmetic number, because the mean of its divisors is an integer number (2342709432).

Almost surely, 2^465029283840 is an apocalyptic number.

465029283840 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 465029283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843375395520).

465029283840 is an abundant number, since it is smaller than the sum of its proper divisors (1221721507200).

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

465029283840 is a wasteful number, since it uses less digits than its factorization.

465029283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 465029283840 in words is "four hundred sixty-five billion, twenty-nine million, two hundred eighty-three thousand, eight hundred forty".