54954000 has 240 divisors, whose sum is σ = 199165824. Its totient is φ = 14112000.

The previous prime is 54953993. The next prime is 54954017. The reversal of 54954000 is 45945.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 773965 + ... + 774035.

Almost surely, 2^54954000 is an apocalyptic number.

54954000 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 54954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99582912).

54954000 is an abundant number, since it is smaller than the sum of its proper divisors (144211824).

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

54954000 is a wasteful number, since it uses less digits than its factorization.

54954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 54954000 is about 7413.0965189993. The cubic root of 54954000 is about 380.1891947999.

Adding to 54954000 its reverse (45945), we get a palindrome (54999945).

The spelling of 54954000 in words is "fifty-four million, nine hundred fifty-four thousand".