405369 has 12 divisors (see below), whose sum is σ = 594516. Its totient is φ = 266112.

The previous prime is 405347. The next prime is 405373. The reversal of 405369 is 963504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 308025 = 312^2 + 555^2 .

It is not a de Polignac number, because 405369 - 2⁷ = 405241 is a prime.

It is a super-2 number, since 2×405369² = 328648052322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405269) 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, 349 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (49543).

2⁴⁰⁵³⁶⁹ is an apocalyptic number.

It is an amenable number.

405369 is a deficient number, since it is larger than the sum of its proper divisors (189147).

405369 is a wasteful number, since it uses less digits than its factorization.

405369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 405369 is about 636.6859508423. The cubic root of 405369 is about 74.0088253414.

The spelling of 405369 in words is "four hundred five thousand, three hundred sixty-nine".