54842400 has 144 divisors (see below), whose sum is σ = 198424800. Its totient is φ = 14618880.

The previous prime is 54842383. The next prime is 54842429. The reversal of 54842400 is 424845.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20331 + ... + 22869.

It is an arithmetic number, because the mean of its divisors is an integer number (1377950).

Almost surely, 2^54842400 is an apocalyptic number.

54842400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99212400).

54842400 is an abundant number, since it is smaller than the sum of its proper divisors (143582400).

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

54842400 is a wasteful number, since it uses less digits than its factorization.

54842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 54842400 is about 7405.5654746954. The cubic root of 54842400 is about 379.9316589934.

The spelling of 54842400 in words is "fifty-four million, eight hundred forty-two thousand, four hundred".