653016400 has 60 divisors (see below), whose sum is σ = 1575943900. Its totient is φ = 260029440.

The previous prime is 653016379. The next prime is 653016433. The reversal of 653016400 is 4610356.

653016400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 22202944 + 630813456 = 4712^2 + 25116^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88036 + ... + 95164.

Almost surely, 2^653016400 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 653016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787971950).

653016400 is an abundant number, since it is smaller than the sum of its proper divisors (922927500).

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

653016400 is a wasteful number, since it uses less digits than its factorization.

653016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7376 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 653016400 is about 25554.1855671434. The cubic root of 653016400 is about 867.5769987603.

Adding to 653016400 its reverse (4610356), we get a palindrome (657626756).

The spelling of 653016400 in words is "six hundred fifty-three million, sixteen thousand, four hundred".