405252351 has 24 divisors (see below), whose sum is σ = 692059680. Its totient is φ = 223586496.

The previous prime is 405252343. The next prime is 405252359. The reversal of 405252351 is 153252504.

It is a happy number.

405252351 is a `hidden beast` number, since 40 + 52 + 523 + 51 = 666.

It is an interprime number because it is at equal distance from previous prime (405252343) and next prime (405252359).

It is not a de Polignac number, because 405252351 - 2³ = 405252343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405252359) 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 23 ways as a sum of consecutive naturals, for example, 109080 + ... + 112733.

It is an arithmetic number, because the mean of its divisors is an integer number (28835820).

Almost surely, 2^405252351 is an apocalyptic number.

405252351 is a deficient number, since it is larger than the sum of its proper divisors (286807329).

405252351 is a wasteful number, since it uses less digits than its factorization.

405252351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221855 (or 221852 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 405252351 is about 20130.8805321576. The cubic root of 405252351 is about 740.0172573282.

The spelling of 405252351 in words is "four hundred five million, two hundred fifty-two thousand, three hundred fifty-one".