465068352 has 112 divisors (see below), whose sum is σ = 1412272512. Its totient is φ = 132311040.

The previous prime is 465068323. The next prime is 465068353. The reversal of 465068352 is 253860564.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 465068352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465068353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393202 + ... + 394382.

It is an arithmetic number, because the mean of its divisors is an integer number (12609576).

Almost surely, 2^465068352 is an apocalyptic number.

465068352 is a gapful number since it is divisible by the number (42) 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 465068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706136256).

465068352 is an abundant number, since it is smaller than the sum of its proper divisors (947204160).

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

465068352 is a wasteful number, since it uses less digits than its factorization.

465068352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 465068352 is about 21565.4434686607. The cubic root of 465068352 is about 774.7690477971.

The spelling of 465068352 in words is "four hundred sixty-five million, sixty-eight thousand, three hundred fifty-two".