400864788 has 60 divisors (see below), whose sum is σ = 1057310100. Its totient is φ = 132427008.

The previous prime is 400864781. The next prime is 400864799. The reversal of 400864788 is 887468004.

It can be written as a sum of positive squares in 2 ways, for example, as 13089924 + 387774864 = 3618^2 + 19692^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400864781) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31138 + ... + 42086.

It is an arithmetic number, because the mean of its divisors is an integer number (17621835).

Almost surely, 2^400864788 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 400864788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528655050).

400864788 is an abundant number, since it is smaller than the sum of its proper divisors (656445312).

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

400864788 is a wasteful number, since it uses less digits than its factorization.

400864788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11078 (or 11067 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 400864788 is about 20021.6080273289. The cubic root of 400864788 is about 737.3369019015.

The spelling of 400864788 in words is "four hundred million, eight hundred sixty-four thousand, seven hundred eighty-eight".