653121400 has 48 divisors (see below), whose sum is σ = 1550838240. Its totient is φ = 255686400.

The previous prime is 653121377. The next prime is 653121407. The reversal of 653121400 is 4121356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653121407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25341 + ... + 44140.

It is an arithmetic number, because the mean of its divisors is an integer number (32309130).

Almost surely, 2^653121400 is an apocalyptic number.

It is an amenable number.

653121400 is an abundant number, since it is smaller than the sum of its proper divisors (897716840).

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

653121400 is a wasteful number, since it uses less digits than its factorization.

653121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69544 (or 69535 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 653121400 is about 25556.2399425268. The cubic root of 653121400 is about 867.6234961646.

Adding to 653121400 its reverse (4121356), we get a palindrome (657242756).

The spelling of 653121400 in words is "six hundred fifty-three million, one hundred twenty-one thousand, four hundred".