405285201 has 20 divisors (see below), whose sum is σ = 606355200. Its totient is φ = 269775576.

The previous prime is 405285193. The next prime is 405285203. The reversal of 405285201 is 102582504.

It is a happy number.

It is not a de Polignac number, because 405285201 - 2³ = 405285193 is a prime.

It is a super-2 number, since 2×405285201² = 328512188299220802, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (405285203) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54760 + ... + 61718.

It is an arithmetic number, because the mean of its divisors is an integer number (30317760).

Almost surely, 2^405285201 is an apocalyptic number.

It is an amenable number.

405285201 is a deficient number, since it is larger than the sum of its proper divisors (201069999).

405285201 is an equidigital number, since it uses as much as digits as its factorization.

405285201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7690 (or 7681 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 405285201 is about 20131.6964262826. The cubic root of 405285201 is about 740.0372522031.

It can be divided in two parts, 4052 and 85201, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 405285201 in words is "four hundred five million, two hundred eighty-five thousand, two hundred one".