400464 has 60 divisors (see below), whose sum is σ = 1173536. Its totient is φ = 132192.

The previous prime is 400457. The next prime is 400471. The reversal of 400464 is 464004.

It is an interprime number because it is at equal distance from previous prime (400457) and next prime (400471).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3837 + ... + 3939.

2⁴⁰⁰⁴⁶⁴ 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 400464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586768).

400464 is an abundant number, since it is smaller than the sum of its proper divisors (773072).

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

400464 is a wasteful number, since it uses less digits than its factorization.

400464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

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

The square root of 400464 is about 632.8222499249. The cubic root of 400464 is about 73.7091088074.

Adding to 400464 its reverse (464004), we get a palindrome (864468).

The spelling of 400464 in words is "four hundred thousand, four hundred sixty-four".