54606456 has 96 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 17070912.

The previous prime is 54606451. The next prime is 54606457. The reversal of 54606456 is 65460645.

It is a happy number.

54606456 is a `hidden beast` number, since 5 + 4 + 6 + 0 + 645 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54606456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54606451) 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, 244761 + ... + 244983.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 2^54606456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54606456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

54606456 is an abundant number, since it is smaller than the sum of its proper divisors (102641544).

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

54606456 is a wasteful number, since it uses less digits than its factorization.

54606456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 54606456 is about 7389.6181227449. The cubic root of 54606456 is about 379.3860260676.

The spelling of 54606456 in words is "fifty-four million, six hundred six thousand, four hundred fifty-six".