53874000 has 240 divisors, whose sum is σ = 195393744. Its totient is φ = 13824000.

The previous prime is 53873977. The next prime is 53874011. The reversal of 53874000 is 47835.

It can be written as a sum of positive squares in 8 ways, for example, as 30603024 + 23270976 = 5532^2 + 4824^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 737964 + ... + 738036.

Almost surely, 2^53874000 is an apocalyptic number.

53874000 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 53874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97696872).

53874000 is an abundant number, since it is smaller than the sum of its proper divisors (141519744).

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

53874000 is a wasteful number, since it uses less digits than its factorization.

53874000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 53874000 is about 7339.8910073652. The cubic root of 53874000 is about 377.6821044410.

The spelling of 53874000 in words is "fifty-three million, eight hundred seventy-four thousand".