54189400 has 48 divisors (see below), whose sum is σ = 130348800. Its totient is φ = 20926080.

The previous prime is 54189397. The next prime is 54189407. The reversal of 54189400 is 498145.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54189407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1129 + ... + 10471.

It is an arithmetic number, because the mean of its divisors is an integer number (2715600).

Almost surely, 2^54189400 is an apocalyptic number.

54189400 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 54189400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65174400).

54189400 is an abundant number, since it is smaller than the sum of its proper divisors (76159400).

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

54189400 is a wasteful number, since it uses less digits than its factorization.

54189400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9388 (or 9379 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 54189400 is about 7361.3449858025. The cubic root of 54189400 is about 378.4177049674.

The spelling of 54189400 in words is "fifty-four million, one hundred eighty-nine thousand, four hundred".