465268041 has 96 divisors (see below), whose sum is σ = 830269440. Its totient is φ = 245548800.

The previous prime is 465268039. The next prime is 465268043. The reversal of 465268041 is 140862564.

It is an interprime number because it is at equal distance from previous prime (465268039) and next prime (465268043).

It is not a de Polignac number, because 465268041 - 2¹ = 465268039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 465267987 and 465268005.

It is not an unprimeable number, because it can be changed into a prime (465268043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6553036 + ... + 6553106.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2^465268041 is an apocalyptic number.

465268041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

465268041 is a deficient number, since it is larger than the sum of its proper divisors (365001399).

465268041 is a wasteful number, since it uses less digits than its factorization.

465268041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 465268041 is about 21570.0728093347. The cubic root of 465268041 is about 774.8799209033.

The spelling of 465268041 in words is "four hundred sixty-five million, two hundred sixty-eight thousand, forty-one".