53964405 has 48 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 25516800.

The previous prime is 53964403. The next prime is 53964457. The reversal of 53964405 is 50446935.

It is a happy number.

53964405 is a `hidden beast` number, since 5 + 3 + 9 + 644 + 0 + 5 = 666.

It is not a de Polignac number, because 53964405 - 2¹ = 53964403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53964405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53964403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18966 + ... + 21624.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^53964405 is an apocalyptic number.

53964405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

53964405 is a deficient number, since it is larger than the sum of its proper divisors (50605515).

53964405 is a wasteful number, since it uses less digits than its factorization.

53964405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 53964405 is about 7346.0468961204. The cubic root of 53964405 is about 377.8932469180.

It can be divided in two parts, 5396 and 4405, that added together give a square (9801 = 99²).

The spelling of 53964405 in words is "fifty-three million, nine hundred sixty-four thousand, four hundred five".