64000400 has 30 divisors (see below), whose sum is σ = 153761922. Its totient is φ = 25600000.

The previous prime is 64000381. The next prime is 64000411. The reversal of 64000400 is 400046.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 22886656 + 41113744 = 4784^2 + 6412^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79601 + ... + 80400.

Almost surely, 2^64000400 is an apocalyptic number.

It is an amenable number.

64000400 is an abundant number, since it is smaller than the sum of its proper divisors (89761522).

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

64000400 is a wasteful number, since it uses less digits than its factorization.

64000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160019 (or 160008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 64000400 is about 8000.0249999609. The cubic root of 64000400 is about 400.0008333316. Note that the first 3 decimals are identical.

Adding to 64000400 its reverse (400046), we get a palindrome (64400446).

The spelling of 64000400 in words is "sixty-four million, four hundred", and thus it is an aban number.