405251145 has 48 divisors (see below), whose sum is σ = 789384960. Its totient is φ = 190827648.

The previous prime is 405251141. The next prime is 405251149. The reversal of 405251145 is 541152504.

405251145 is a `hidden beast` number, since 405 + 251 + 1 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (405251141) and next prime (405251149).

It is not a de Polignac number, because 405251145 - 2² = 405251141 is a prime.

It is a super-2 number, since 2×405251145² = 328456981047622050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405251141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1605 + ... + 28514.

It is an arithmetic number, because the mean of its divisors is an integer number (16445520).

Almost surely, 2^405251145 is an apocalyptic number.

405251145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405251145 is a deficient number, since it is larger than the sum of its proper divisors (384133815).

405251145 is a wasteful number, since it uses less digits than its factorization.

405251145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30166 (or 30163 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 405251145 is about 20130.8505781549. The cubic root of 405251145 is about 740.0165232493.

The spelling of 405251145 in words is "four hundred five million, two hundred fifty-one thousand, one hundred forty-five".