54845700 has 288 divisors, whose sum is σ = 204153600. Its totient is φ = 11289600.

The previous prime is 54845669. The next prime is 54845701. The reversal of 54845700 is 754845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54845701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1337680 + ... + 1337720.

Almost surely, 2^54845700 is an apocalyptic number.

54845700 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 54845700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102076800).

54845700 is an abundant number, since it is smaller than the sum of its proper divisors (149307900).

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

54845700 is a wasteful number, since it uses less digits than its factorization.

54845700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 54845700 is about 7405.7882767468. The cubic root of 54845700 is about 379.9392793099.

The spelling of 54845700 in words is "fifty-four million, eight hundred forty-five thousand, seven hundred".