53508900 has 72 divisors (see below), whose sum is σ = 155865024. Its totient is φ = 14172800.

The previous prime is 53508893. The next prime is 53508913. The reversal of 53508900 is 980535.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51385 + ... + 52415.

It is an arithmetic number, because the mean of its divisors is an integer number (2164792).

Almost surely, 2^53508900 is an apocalyptic number.

53508900 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 53508900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77932512).

53508900 is an abundant number, since it is smaller than the sum of its proper divisors (102356124).

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

53508900 is a wasteful number, since it uses less digits than its factorization.

53508900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 53508900 is about 7314.9777853388. The cubic root of 53508900 is about 376.8269955551.

The spelling of 53508900 in words is "fifty-three million, five hundred eight thousand, nine hundred".