465107265 has 120 divisors (see below), whose sum is σ = 1013031360. Its totient is φ = 203176512.

The previous prime is 465107261. The next prime is 465107287. The reversal of 465107265 is 562701564.

It is a happy number.

It is not a de Polignac number, because 465107265 - 2² = 465107261 is a prime.

It is not an unprimeable number, because it can be changed into a prime (465107261) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 455926 + ... + 456944.

It is an arithmetic number, because the mean of its divisors is an integer number (8441928).

Almost surely, 2^465107265 is an apocalyptic number.

465107265 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

465107265 is an abundant number, since it is smaller than the sum of its proper divisors (547924095).

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

465107265 is a wasteful number, since it uses less digits than its factorization.

465107265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 465107265 is about 21566.3456570649. The cubic root of 465107265 is about 774.7906559091.

The spelling of 465107265 in words is "four hundred sixty-five million, one hundred seven thousand, two hundred sixty-five".