54259800 has 96 divisors (see below), whose sum is σ = 192249600. Its totient is φ = 12401280.

The previous prime is 54259789. The next prime is 54259811. The reversal of 54259800 is 895245.

It is an interprime number because it is at equal distance from previous prime (54259789) and next prime (54259811).

It is a congruent number.

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, 2260 + ... + 10659.

It is an arithmetic number, because the mean of its divisors is an integer number (2002600).

Almost surely, 2^54259800 is an apocalyptic number.

54259800 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 54259800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96124800).

54259800 is an abundant number, since it is smaller than the sum of its proper divisors (137989800).

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

54259800 is a wasteful number, since it uses less digits than its factorization.

54259800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12945 (or 12936 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 54259800 is about 7366.1251686351. The cubic root of 54259800 is about 378.5815074704.

It can be divided in two parts, 5425 and 9800, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 54259800 in words is "fifty-four million, two hundred fifty-nine thousand, eight hundred".