465848040 has 256 divisors, whose sum is σ = 1657221120. Its totient is φ = 102574080.

The previous prime is 465848039. The next prime is 465848077. The reversal of 465848040 is 40848564.

It is a self number, because there is not a number n which added to its sum of digits gives 465848040.

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, 4353667 + ... + 4353773.

It is an arithmetic number, because the mean of its divisors is an integer number (6473520).

Almost surely, 2^465848040 is an apocalyptic number.

465848040 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 465848040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828610560).

465848040 is an abundant number, since it is smaller than the sum of its proper divisors (1191373080).

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

465848040 is a wasteful number, since it uses less digits than its factorization.

465848040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 465848040 is about 21583.5131524041. The cubic root of 465848040 is about 775.2017733390.

The spelling of 465848040 in words is "four hundred sixty-five million, eight hundred forty-eight thousand, forty".