54851400 has 144 divisors (see below), whose sum is σ = 190344960. Its totient is φ = 14140800.

The previous prime is 54851371. The next prime is 54851411. The reversal of 54851400 is 415845.

54851400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 55309 + ... + 56291.

It is an arithmetic number, because the mean of its divisors is an integer number (1321840).

Almost surely, 2^54851400 is an apocalyptic number.

54851400 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 54851400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95172480).

54851400 is an abundant number, since it is smaller than the sum of its proper divisors (135493560).

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

54851400 is a wasteful number, since it uses less digits than its factorization.

54851400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 54851400 is about 7406.1731008666. The cubic root of 54851400 is about 379.9524409547.

The spelling of 54851400 in words is "fifty-four million, eight hundred fifty-one thousand, four hundred".