54206406 has 48 divisors (see below), whose sum is σ = 121524000. Its totient is φ = 17449344.

The previous prime is 54206401. The next prime is 54206419. The reversal of 54206406 is 60460245.

It is a happy number.

54206406 is a `hidden beast` number, since 54 + 206 + 406 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 54206406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54206401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132330 + ... + 132738.

It is an arithmetic number, because the mean of its divisors is an integer number (2531750).

Almost surely, 2^54206406 is an apocalyptic number.

It is a pronic number, being equal to 7362×7363.

It is a practical number, because each smaller number is the sum of distinct divisors of 54206406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60762000).

54206406 is an abundant number, since it is smaller than the sum of its proper divisors (67317594).

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

54206406 is a wasteful number, since it uses less digits than its factorization.

54206406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54206406 is about 7362.4999830221. The cubic root of 54206406 is about 378.4572864995.

The spelling of 54206406 in words is "fifty-four million, two hundred six thousand, four hundred six".