65000400 has 60 divisors (see below), whose sum is σ = 208221792. Its totient is φ = 17333120.

The previous prime is 65000399. The next prime is 65000437. The reversal of 65000400 is 400056.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 65000400.

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 11 ways as a sum of consecutive naturals, for example, 25884 + ... + 28283.

Almost surely, 2^65000400 is an apocalyptic number.

65000400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65000400 is an abundant number, since it is smaller than the sum of its proper divisors (143221392).

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

65000400 is a wasteful number, since it uses less digits than its factorization.

65000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54188 (or 54177 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 65000400 is about 8062.2825552073. The cubic root of 65000400 is about 402.0734006215.

Adding to 65000400 its reverse (400056), we get a palindrome (65400456).

The spelling of 65000400 in words is "sixty-five million, four hundred", and thus it is an aban number.