400306632 has 64 divisors (see below), whose sum is σ = 1102628160. Its totient is φ = 120096000.

The previous prime is 400306607. The next prime is 400306637. The reversal of 400306632 is 236603004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (400306637) 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, 19158 + ... + 34170.

It is an arithmetic number, because the mean of its divisors is an integer number (17228565).

Almost surely, 2^400306632 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 400306632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551314080).

400306632 is an abundant number, since it is smaller than the sum of its proper divisors (702321528).

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

400306632 is a wasteful number, since it uses less digits than its factorization.

400306632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15134 (or 15130 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 400306632 is about 20007.6643314506. The cubic root of 400306632 is about 736.9945252974.

Adding to 400306632 its reverse (236603004), we get a palindrome (636909636).

The spelling of 400306632 in words is "four hundred million, three hundred six thousand, six hundred thirty-two".