400046752 has 48 divisors (see below), whose sum is σ = 907042752. Its totient is φ = 170127360.

The previous prime is 400046719. The next prime is 400046761. The reversal of 400046752 is 257640004.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 400046752.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22528 + ... + 36160.

It is an arithmetic number, because the mean of its divisors is an integer number (18896724).

Almost surely, 2^400046752 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 400046752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453521376).

400046752 is an abundant number, since it is smaller than the sum of its proper divisors (506996000).

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

400046752 is a wasteful number, since it uses less digits than its factorization.

400046752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13781 (or 13773 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 400046752 is about 20001.1687658497. The cubic root of 400046752 is about 736.8350045832.

Adding to 400046752 its reverse (257640004), we get a palindrome (657686756).

The spelling of 400046752 in words is "four hundred million, forty-six thousand, seven hundred fifty-two".