54576405 has 48 divisors (see below), whose sum is σ = 105421680. Its totient is φ = 25933824.

The previous prime is 54576377. The next prime is 54576413. The reversal of 54576405 is 50467545.

It is a happy number.

54576405 is a `hidden beast` number, since 5 + 4 + 5 + 7 + 640 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23409 + 54552996 = 153^2 + 7386^2 .

It is not a de Polignac number, because 54576405 - 2⁵ = 54576373 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54576405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15357 + ... + 18573.

It is an arithmetic number, because the mean of its divisors is an integer number (2196285).

Almost surely, 2^54576405 is an apocalyptic number.

It is an amenable number.

54576405 is a deficient number, since it is larger than the sum of its proper divisors (50845275).

54576405 is a wasteful number, since it uses less digits than its factorization.

54576405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 54576405 is about 7387.5845172830. The cubic root of 54576405 is about 379.3164187823.

The spelling of 54576405 in words is "fifty-four million, five hundred seventy-six thousand, four hundred five".