65300400 has 360 divisors, whose sum is σ = 264451824. Its totient is φ = 14745600.

The previous prime is 65300387. The next prime is 65300419. The reversal of 65300400 is 400356.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 673152 + ... + 673248.

Almost surely, 2^65300400 is an apocalyptic number.

65300400 is a gapful number since it is divisible by the number (60) 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 65300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132225912).

65300400 is an abundant number, since it is smaller than the sum of its proper divisors (199151424).

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

65300400 is a wasteful number, since it uses less digits than its factorization.

65300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 65300400 is about 8080.8662901944. The cubic root of 65300400 is about 402.6910220687.

Adding to 65300400 its reverse (400356), we get a palindrome (65700756).

The spelling of 65300400 in words is "sixty-five million, three hundred thousand, four hundred".