53260400 has 60 divisors (see below), whose sum is σ = 130726752. Its totient is φ = 20843520.

The previous prime is 53260399. The next prime is 53260411. The reversal of 53260400 is 406235.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17384 + ... + 20216.

Almost surely, 2^53260400 is an apocalyptic number.

53260400 is a gapful number since it is divisible by the number (50) 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 53260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65363376).

53260400 is an abundant number, since it is smaller than the sum of its proper divisors (77466352).

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

53260400 is a wasteful number, since it uses less digits than its factorization.

53260400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 53260400 is about 7297.9723211314. The cubic root of 53260400 is about 376.2427510441.

Adding to 53260400 its reverse (406235), we get a palindrome (53666635).

The spelling of 53260400 in words is "fifty-three million, two hundred sixty thousand, four hundred".