53388000 has 144 divisors (see below), whose sum is σ = 189601776. Its totient is φ = 14227200.

The previous prime is 53387987. The next prime is 53388001. The reversal of 53388000 is 88335.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53388001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35259 + ... + 36741.

It is an arithmetic number, because the mean of its divisors is an integer number (1316679).

Almost surely, 2^53388000 is an apocalyptic number.

53388000 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 53388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94800888).

53388000 is an abundant number, since it is smaller than the sum of its proper divisors (136213776).

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

53388000 is a wasteful number, since it uses less digits than its factorization.

53388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 53388000 is about 7306.7092456180. The cubic root of 53388000 is about 376.5429758935.

The spelling of 53388000 in words is "fifty-three million, three hundred eighty-eight thousand".