54734400 has 336 divisors, whose sum is σ = 229290880. Its totient is φ = 12441600.

The previous prime is 54734327. The next prime is 54734401. The reversal of 54734400 is 443745.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (54734401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302310 + ... + 302490.

Almost surely, 2^54734400 is an apocalyptic number.

54734400 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 54734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114645440).

54734400 is an abundant number, since it is smaller than the sum of its proper divisors (174556480).

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

54734400 is a wasteful number, since it uses less digits than its factorization.

54734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 54734400 is about 7398.2700680632. The cubic root of 54734400 is about 379.6820979265.

The spelling of 54734400 in words is "fifty-four million, seven hundred thirty-four thousand, four hundred".