54429600 has 72 divisors (see below), whose sum is σ = 177176160. Its totient is φ = 14513920.

The previous prime is 54429593. The next prime is 54429637. The reversal of 54429600 is 692445.

54429600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8940 + ... + 13739.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2^54429600 is an apocalyptic number.

54429600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54429600 is an abundant number, since it is smaller than the sum of its proper divisors (122746560).

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

54429600 is a wasteful number, since it uses less digits than its factorization.

54429600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22702 (or 22689 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 54429600 is about 7377.6418996858. The cubic root of 54429600 is about 378.9760057955.

The spelling of 54429600 in words is "fifty-four million, four hundred twenty-nine thousand, six hundred".