400536306 has 128 divisors (see below), whose sum is σ = 977633280. Its totient is φ = 121176000.

The previous prime is 400536281. The next prime is 400536319. The reversal of 400536306 is 603635004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 400536306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3888651 + ... + 3888753.

It is an arithmetic number, because the mean of its divisors is an integer number (7637760).

Almost surely, 2^400536306 is an apocalyptic number.

400536306 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 400536306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488816640).

400536306 is an abundant number, since it is smaller than the sum of its proper divisors (577096974).

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

400536306 is a wasteful number, since it uses less digits than its factorization.

400536306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 400536306 is about 20013.4031588833. The cubic root of 400536306 is about 737.1354473682.

The spelling of 400536306 in words is "four hundred million, five hundred thirty-six thousand, three hundred six".