406953 has 12 divisors (see below), whose sum is σ = 594880. Its totient is φ = 268056.

The previous prime is 406951. The next prime is 406969. The reversal of 406953 is 359604.

It is a happy number.

It is not a de Polignac number, because 406953 - 2¹ = 406951 is a prime.

It is a super-2 number, since 2×406953² = 331221488418, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406953.

It is not an unprimeable number, because it can be changed into a prime (406951) 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, 708 + ... + 1146.

2⁴⁰⁶⁹⁵³ is an apocalyptic number.

It is an amenable number.

406953 is a deficient number, since it is larger than the sum of its proper divisors (187927).

406953 is a wasteful number, since it uses less digits than its factorization.

406953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 545 counting only the distinct ones).

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

The square root of 406953 is about 637.9286793992. The cubic root of 406953 is about 74.1050978042.

The spelling of 406953 in words is "four hundred six thousand, nine hundred fifty-three".