54938400 has 144 divisors (see below), whose sum is σ = 195175008. Its totient is φ = 13312000.

The previous prime is 54938393. The next prime is 54938423. The reversal of 54938400 is 483945.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 25360 + ... + 27440.

It is an arithmetic number, because the mean of its divisors is an integer number (1355382).

Almost surely, 2^54938400 is an apocalyptic number.

54938400 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 54938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97587504).

54938400 is an abundant number, since it is smaller than the sum of its proper divisors (140236608).

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

54938400 is a wasteful number, since it uses less digits than its factorization.

54938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2102 counting only the distinct ones).

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

The square root of 54938400 is about 7412.0442524313. The cubic root of 54938400 is about 380.1532161466.

The spelling of 54938400 in words is "fifty-four million, nine hundred thirty-eight thousand, four hundred".