53583480 has 96 divisors (see below), whose sum is σ = 175134960. Its totient is φ = 14208000.

The previous prime is 53583457. The next prime is 53583493. The reversal of 53583480 is 8438535.

53583480 is a `hidden beast` number, since 535 + 83 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

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, 90064 + ... + 90656.

Almost surely, 2^53583480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53583480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87567480).

53583480 is an abundant number, since it is smaller than the sum of its proper divisors (121551480).

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

53583480 is a wasteful number, since it uses less digits than its factorization.

53583480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 53583480 is about 7320.0737701201. The cubic root of 53583480 is about 377.0019864478.

The spelling of 53583480 in words is "fifty-three million, five hundred eighty-three thousand, four hundred eighty".