400068900 has 432 divisors, whose sum is σ = 1637895168. Its totient is φ = 79200000.

The previous prime is 400068887. The next prime is 400068931. The reversal of 400068900 is 9860004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1593775 + ... + 1594025.

It is an arithmetic number, because the mean of its divisors is an integer number (3791424).

Almost surely, 2^400068900 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 400068900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818947584).

400068900 is an abundant number, since it is smaller than the sum of its proper divisors (1237826268).

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

400068900 is a wasteful number, since it uses less digits than its factorization.

400068900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 400068900 is about 20001.7224258312. The cubic root of 400068900 is about 736.8486022610.

It can be divided in two parts, 4000 and 68900, that added together give a square (72900 = 270²).

The spelling of 400068900 in words is "four hundred million, sixty-eight thousand, nine hundred".