406353321 has 32 divisors (see below), whose sum is σ = 657901440. Its totient is φ = 245836800.

The previous prime is 406353317. The next prime is 406353331. The reversal of 406353321 is 123353604.

It is a happy number.

406353321 is a `hidden beast` number, since 4 + 0 + 635 + 3 + 3 + 21 = 666.

It is not a de Polignac number, because 406353321 - 2² = 406353317 is a prime.

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 (406353331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260881 + ... + 262433.

It is an arithmetic number, because the mean of its divisors is an integer number (20559420).

Almost surely, 2^406353321 is an apocalyptic number.

It is an amenable number.

406353321 is a deficient number, since it is larger than the sum of its proper divisors (251548119).

406353321 is a wasteful number, since it uses less digits than its factorization.

406353321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 406353321 is about 20158.2072863635. The cubic root of 406353321 is about 740.6867990733.

It can be divided in two parts, 40635 and 3321, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 406353321 in words is "four hundred six million, three hundred fifty-three thousand, three hundred twenty-one".