54810000 has 400 divisors, whose sum is σ = 232425600. Its totient is φ = 12096000.

The previous prime is 54809983. The next prime is 54810011. The reversal of 54810000 is 1845.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×54810000² = 6008272200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1889986 + ... + 1890014.

It is an arithmetic number, because the mean of its divisors is an integer number (581064).

Almost surely, 2^54810000 is an apocalyptic number.

54810000 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 54810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116212800).

54810000 is an abundant number, since it is smaller than the sum of its proper divisors (177615600).

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

54810000 is a wasteful number, since it uses less digits than its factorization.

54810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 54810000 is about 7403.3776075518. The cubic root of 54810000 is about 379.8568251016.

Adding to 54810000 its reverse (1845), we get a palindrome (54811845).

The spelling of 54810000 in words is "fifty-four million, eight hundred ten thousand".