54398400 has 168 divisors, whose sum is σ = 204094080. Its totient is φ = 12426240.

The previous prime is 54398389. The next prime is 54398423. The reversal of 54398400 is 489345.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32791 + ... + 34409.

Almost surely, 2^54398400 is an apocalyptic number.

54398400 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 54398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102047040).

54398400 is an abundant number, since it is smaller than the sum of its proper divisors (149695680).

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

54398400 is a wasteful number, since it uses less digits than its factorization.

54398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 54398400 is about 7375.5270998079. The cubic root of 54398400 is about 378.9035800605.

The spelling of 54398400 in words is "fifty-four million, three hundred ninety-eight thousand, four hundred".