468037400517 has 12 divisors (see below), whose sum is σ = 676065915564. Its totient is φ = 312019444800.

The previous prime is 468037400513. The next prime is 468037400521. The reversal of 468037400517 is 715004730864.

468037400517 is a `hidden beast` number, since 4 + 68 + 0 + 3 + 74 + 0 + 0 + 517 = 666.

It is an interprime number because it is at equal distance from previous prime (468037400513) and next prime (468037400521).

It can be written as a sum of positive squares in 2 ways, for example, as 84231131076 + 383806269441 = 290226^2 + 619521^2 .

It is not a de Polignac number, because 468037400517 - 2² = 468037400513 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468037400513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121153 + ... + 975065.

It is an arithmetic number, because the mean of its divisors is an integer number (56338826297).

Almost surely, 2^468037400517 is an apocalyptic number.

It is an amenable number.

468037400517 is a deficient number, since it is larger than the sum of its proper divisors (208028515047).

468037400517 is a wasteful number, since it uses less digits than its factorization.

468037400517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914820 (or 914817 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 468037400517 in words is "four hundred sixty-eight billion, thirty-seven million, four hundred thousand, five hundred seventeen".