53894400 has 216 divisors, whose sum is σ = 203778624. Its totient is φ = 12288000.

The previous prime is 53894387. The next prime is 53894429. The reversal of 53894400 is 449835.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134200 + ... + 134600.

Almost surely, 2^53894400 is an apocalyptic number.

53894400 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 53894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101889312).

53894400 is an abundant number, since it is smaller than the sum of its proper divisors (149884224).

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

53894400 is a wasteful number, since it uses less digits than its factorization.

53894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 418 counting only the distinct ones).

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

The square root of 53894400 is about 7341.2805422487. The cubic root of 53894400 is about 377.7297696266.

It can be divided in two parts, 53 and 894400, that added together give a triangular number (894453 = T₁₃₃₇).

The spelling of 53894400 in words is "fifty-three million, eight hundred ninety-four thousand, four hundred".