400752 has 90 divisors (see below), whose sum is σ = 1286376. Its totient is φ = 116160.

The previous prime is 400739. The next prime is 400753. The reversal of 400752 is 257004.

It is a happy number.

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

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 400752.

It is not an unprimeable number, because it can be changed into a prime (400753) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17413 + ... + 17435.

2⁴⁰⁰⁷⁵² 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 400752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643188).

400752 is an abundant number, since it is smaller than the sum of its proper divisors (885624).

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

400752 is a wasteful number, since it uses less digits than its factorization.

400752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 400752 is about 633.0497610773. The cubic root of 400752 is about 73.7267742626.

Adding to 400752 its reverse (257004), we get a palindrome (657756).

The spelling of 400752 in words is "four hundred thousand, seven hundred fifty-two".