653400 has 144 divisors (see below), whose sum is σ = 2473800. Its totient is φ = 158400.

The previous prime is 653363. The next prime is 653431. The reversal of 653400 is 4356.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

653400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

653400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59395 + ... + 59405.

2⁶⁵³⁴⁰⁰ is an apocalyptic number.

653400 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 653400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236900).

653400 is an abundant number, since it is smaller than the sum of its proper divisors (1820400).

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

653400 is a wasteful number, since it uses less digits than its factorization.

653400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 21 counting only the distinct ones).

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

The square root of 653400 is about 808.3316151184. The cubic root of 653400 is about 86.7746845129.

Adding to 653400 its reverse (4356), we get a palindrome (657756).

It can be divided in two parts, 6 and 53400, that multiplied together give a triangular number (320400 = T₈₀₀).

The spelling of 653400 in words is "six hundred fifty-three thousand, four hundred".