54353000 has 128 divisors (see below), whose sum is σ = 141916320. Its totient is φ = 19353600.

The previous prime is 54352981. The next prime is 54353011. The reversal of 54353000 is 35345.

It can be written as a sum of positive squares in 16 ways, for example, as 12802084 + 41550916 = 3578^2 + 6446^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480944 + ... + 481056.

Almost surely, 2^54353000 is an apocalyptic number.

54353000 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 54353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70958160).

54353000 is an abundant number, since it is smaller than the sum of its proper divisors (87563320).

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

54353000 is a wasteful number, since it uses less digits than its factorization.

54353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 54353000 is about 7372.4487112492. The cubic root of 54353000 is about 378.7981418472.

Adding to 54353000 its reverse (35345), we get a palindrome (54388345).

The spelling of 54353000 in words is "fifty-four million, three hundred fifty-three thousand".