400442252 has 48 divisors (see below), whose sum is σ = 870266880. Its totient is φ = 157334400.

The previous prime is 400442243. The next prime is 400442279. The reversal of 400442252 is 252244004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4352 + ... + 28632.

It is an arithmetic number, because the mean of its divisors is an integer number (18130560).

Almost surely, 2^400442252 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 400442252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435133440).

400442252 is an abundant number, since it is smaller than the sum of its proper divisors (469824628).

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

400442252 is a wasteful number, since it uses less digits than its factorization.

400442252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24342 (or 24340 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 400442252 is about 20011.0532456440. The cubic root of 400442252 is about 737.0777447631.

Adding to 400442252 its reverse (252244004), we get a palindrome (652686256).

The spelling of 400442252 in words is "four hundred million, four hundred forty-two thousand, two hundred fifty-two".