53440401 has 32 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 28452096.

The previous prime is 53440399. The next prime is 53440421. The reversal of 53440401 is 10404435.

53440401 = 1765² + 1766² + ... + 1781².

53440401 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 53440401 - 2¹ = 53440399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (53440421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37500 + ... + 38898.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^53440401 is an apocalyptic number.

53440401 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

53440401 is a deficient number, since it is larger than the sum of its proper divisors (33650799).

53440401 is a wasteful number, since it uses less digits than its factorization.

53440401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 53440401 is about 7310.2941801271. The cubic root of 53440401 is about 376.6661295143. Note that the first 3 decimals are identical.

Adding to 53440401 its reverse (10404435), we get a palindrome (63844836).

The spelling of 53440401 in words is "fifty-three million, four hundred forty thousand, four hundred one".