5355504 has 240 divisors, whose sum is σ = 20355840. Its totient is φ = 1330560.

The previous prime is 5355503. The next prime is 5355551. The reversal of 5355504 is 4055535.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5355503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232837 + ... + 232859.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

Almost surely, 2^5355504 is an apocalyptic number.

5355504 is a gapful number since it is divisible by the number (54) 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 5355504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10177920).

5355504 is an abundant number, since it is smaller than the sum of its proper divisors (15000336).

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

5355504 is a wasteful number, since it uses less digits than its factorization.

5355504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 5355504 is about 2314.1961887446. The cubic root of 5355504 is about 174.9578565185.

The spelling of 5355504 in words is "five million, three hundred fifty-five thousand, five hundred four".