408464 has 30 divisors (see below), whose sum is σ = 922374. Its totient is φ = 174720.

The previous prime is 408461. The next prime is 408469. The reversal of 408464 is 464804.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 94864 = 560^2 + 308^2 .

It is not an unprimeable number, because it can be changed into a prime (408461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 524 + ... + 1044.

2⁴⁰⁸⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461187).

408464 is an abundant number, since it is smaller than the sum of its proper divisors (513910).

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

408464 is a wasteful number, since it uses less digits than its factorization.

408464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 408464 is about 639.1118837887. Note that the first 3 decimals coincide. The cubic root of 408464 is about 74.1967009332.

The spelling of 408464 in words is "four hundred eight thousand, four hundred sixty-four".