54849600 has 252 divisors, whose sum is σ = 210660996. Its totient is φ = 13455360.

The previous prime is 54849593. The next prime is 54849607. The reversal of 54849600 is 694845.

54849600 is a `hidden beast` number, since 5 + 4 + 8 + 49 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (54849593) and next prime (54849607).

It can be written as a sum of positive squares in 6 ways, for example, as 207936 + 54641664 = 456^2 + 7392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54849607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187054 + ... + 187346.

Almost surely, 2^54849600 is an apocalyptic number.

54849600 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 54849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105330498).

54849600 is an abundant number, since it is smaller than the sum of its proper divisors (155811396).

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

54849600 is a wasteful number, since it uses less digits than its factorization.

54849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54849600 is about 7406.0515796205. The cubic root of 54849600 is about 379.9482847443.

The spelling of 54849600 in words is "fifty-four million, eight hundred forty-nine thousand, six hundred".