40464 has 30 divisors (see below), whose sum is σ = 113646. Its totient is φ = 13440.

The previous prime is 40459. The next prime is 40471. The reversal of 40464 is 46404.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 3600 = 192^2 + 60^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is an unprimeable number.

40464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4 + ... + 284.

2⁴⁰⁴⁶⁴ 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 40464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56823).

40464 is an abundant number, since it is smaller than the sum of its proper divisors (73182).

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

40464 is a wasteful number, since it uses less digits than its factorization.

40464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40464 is about 201.1566553709. The cubic root of 40464 is about 34.3312490225.

Adding to 40464 its reverse (46404), we get a palindrome (86868).

The spelling of 40464 in words is "forty thousand, four hundred sixty-four".