400248 has 64 divisors (see below), whose sum is σ = 1188000. Its totient is φ = 124416.

The previous prime is 400247. The next prime is 400249. The reversal of 400248 is 842004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400247) and next prime (400249).

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

It is a self number, because there is not a number n which added to its sum of digits gives 400248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3618 + ... + 3726.

2⁴⁰⁰²⁴⁸ 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 400248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594000).

400248 is an abundant number, since it is smaller than the sum of its proper divisors (787752).

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

400248 is a wasteful number, since it uses less digits than its factorization.

400248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 400248 is about 632.6515628685. The cubic root of 400248 is about 73.6958541571.

The spelling of 400248 in words is "four hundred thousand, two hundred forty-eight".