408954 has 48 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 106848.

The previous prime is 408953. The next prime is 408959. The reversal of 408954 is 459804.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (408953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3769 + ... + 3875.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2⁴⁰⁸⁹⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104).

408954 is an abundant number, since it is smaller than the sum of its proper divisors (625254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

408954 is a wasteful number, since it uses less digits than its factorization.

408954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 408954 is about 639.4951133511. The cubic root of 408954 is about 74.2263582634.

The spelling of 408954 in words is "four hundred eight thousand, nine hundred fifty-four".