400200064 has 32 divisors (see below), whose sum is σ = 869756040. Its totient is φ = 181908480.

The previous prime is 400200061. The next prime is 400200067. The reversal of 400200064 is 460002004.

It is an interprime number because it is at equal distance from previous prime (400200061) and next prime (400200067).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400200061) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 140709 + ... + 143524.

Almost surely, 2^400200064 is an apocalyptic number.

400200064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400200064 is an abundant number, since it is smaller than the sum of its proper divisors (469555976).

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

400200064 is a wasteful number, since it uses less digits than its factorization.

400200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284258 (or 284246 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 400200064 is about 20005.0009747563. Note that the first 3 decimals coincide. The cubic root of 400200064 is about 736.9291196001.

Adding to 400200064 its reverse (460002004), we get a palindrome (860202068).

The spelling of 400200064 in words is "four hundred million, two hundred thousand, sixty-four".