53481600 has 192 divisors, whose sum is σ = 196044000. Its totient is φ = 14238720.

The previous prime is 53481587. The next prime is 53481607. The reversal of 53481600 is 618435.

53481600 is a `hidden beast` number, since 53 + 4 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (53481607) 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, 86091 + ... + 86709.

Almost surely, 2^53481600 is an apocalyptic number.

53481600 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 53481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98022000).

53481600 is an abundant number, since it is smaller than the sum of its proper divisors (142562400).

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

53481600 is a wasteful number, since it uses less digits than its factorization.

53481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 629 counting only the distinct ones).

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

The square root of 53481600 is about 7313.1115128924. Note that the first 3 decimals coincide. The cubic root of 53481600 is about 376.7628995075.

The spelling of 53481600 in words is "fifty-three million, four hundred eighty-one thousand, six hundred".