4314465792 has 240 divisors, whose sum is σ = 15326831520. Its totient is φ = 1137770496.

The previous prime is 4314465781. The next prime is 4314465809. The reversal of 4314465792 is 2975644134.

4314465792 is a `hidden beast` number, since 4 + 31 + 4 + 46 + 579 + 2 = 666.

It is a super-2 number, since 2×4314465792² = 37229230140676374528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414184 + ... + 424472.

It is an arithmetic number, because the mean of its divisors is an integer number (63861798).

Almost surely, 2^4314465792 is an apocalyptic number.

4314465792 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 4314465792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663415760).

4314465792 is an abundant number, since it is smaller than the sum of its proper divisors (11012365728).

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

4314465792 is a wasteful number, since it uses less digits than its factorization.

4314465792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10333 (or 10314 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 4314465792 is about 65684.5932620428. The cubic root of 4314465792 is about 1627.9548027787.

The spelling of 4314465792 in words is "four billion, three hundred fourteen million, four hundred sixty-five thousand, seven hundred ninety-two".