406464 has 56 divisors (see below), whose sum is σ = 1127760. Its totient is φ = 129024.

The previous prime is 406447. The next prime is 406481. The reversal of 406464 is 464604.

It is an interprime number because it is at equal distance from previous prime (406447) and next prime (406481).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406464.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5532 + ... + 5604.

2⁴⁰⁶⁴⁶⁴ 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 406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563880).

406464 is an abundant number, since it is smaller than the sum of its proper divisors (721296).

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

406464 is a wasteful number, since it uses less digits than its factorization.

406464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 406464 is about 637.5452925087. The cubic root of 406464 is about 74.0754040255.

The spelling of 406464 in words is "four hundred six thousand, four hundred sixty-four".