5709504 has 56 divisors (see below), whose sum is σ = 15288768. Its totient is φ = 1880320.

The previous prime is 5709493. The next prime is 5709523. The reversal of 5709504 is 4059075.

5709504 = T₁₀₁ + T₁₀₂ + ... + T₃₂₇.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25039 + ... + 25265.

Almost surely, 2^5709504 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 5709504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644384).

5709504 is an abundant number, since it is smaller than the sum of its proper divisors (9579264).

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

5709504 is a wasteful number, since it uses less digits than its factorization.

5709504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 5709504 is about 2389.4568420459. The cubic root of 5709504 is about 178.7308252045.

The spelling of 5709504 in words is "five million, seven hundred nine thousand, five hundred four".