54435960 has 96 divisors (see below), whose sum is σ = 179010000. Its totient is φ = 14344704.

The previous prime is 54435949. The next prime is 54435967. The reversal of 54435960 is 6953445.

It is a happy number.

54435960 is a `hidden beast` number, since 544 + 3 + 59 + 60 = 666.

54435960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54435960² = 5926547482243200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54435967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31191 + ... + 32889.

Almost surely, 2^54435960 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 54435960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89505000).

54435960 is an abundant number, since it is smaller than the sum of its proper divisors (124574040).

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

54435960 is a wasteful number, since it uses less digits than its factorization.

54435960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1798 counting only the distinct ones).

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

The square root of 54435960 is about 7378.0729191300. The cubic root of 54435960 is about 378.9907661068.

The spelling of 54435960 in words is "fifty-four million, four hundred thirty-five thousand, nine hundred sixty".