400226640 has 320 divisors, whose sum is σ = 1457049600. Its totient is φ = 89856000.

The previous prime is 400226639. The next prime is 400226693. The reversal of 400226640 is 46622004.

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

It is a self number, because there is not a number n which added to its sum of digits gives 400226640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3962590 + ... + 3962690.

It is an arithmetic number, because the mean of its divisors is an integer number (4553280).

Almost surely, 2^400226640 is an apocalyptic number.

400226640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400226640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728524800).

400226640 is an abundant number, since it is smaller than the sum of its proper divisors (1056822960).

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

400226640 is a wasteful number, since it uses less digits than its factorization.

400226640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 400226640 is about 20005.6651976384. The cubic root of 400226640 is about 736.9454316038.

Adding to 400226640 its reverse (46622004), we get a palindrome (446848644).

The spelling of 400226640 in words is "four hundred million, two hundred twenty-six thousand, six hundred forty".