465226641 has 96 divisors (see below), whose sum is σ = 826315776. Its totient is φ = 248832000.

The previous prime is 465226637. The next prime is 465226651. The reversal of 465226641 is 146622564.

465226641 is a `hidden beast` number, since 4 + 6 + 5 + 2 + 2 + 6 + 641 = 666.

It is not a de Polignac number, because 465226641 - 2² = 465226637 is a prime.

It is a super-2 number, since 2×465226641² = 432871654992285762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 465226596 and 465226605.

It is not an unprimeable number, because it can be changed into a prime (465226651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1930281 + ... + 1930521.

It is an arithmetic number, because the mean of its divisors is an integer number (8607456).

Almost surely, 2^465226641 is an apocalyptic number.

It is an amenable number.

465226641 is a deficient number, since it is larger than the sum of its proper divisors (361089135).

465226641 is a wasteful number, since it uses less digits than its factorization.

465226641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 340 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 465226641 is about 21569.1131250221. The cubic root of 465226641 is about 774.8569370334.

The spelling of 465226641 in words is "four hundred sixty-five million, two hundred twenty-six thousand, six hundred forty-one".