5409624 has 64 divisors (see below), whose sum is σ = 15252480. Its totient is φ = 1584000.

The previous prime is 5409611. The next prime is 5409629. The reversal of 5409624 is 4269045.

It is a junction number, because it is equal to n+sod(n) for n = 5409591 and 5409600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5409629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7854 + ... + 8514.

It is an arithmetic number, because the mean of its divisors is an integer number (238320).

Almost surely, 2^5409624 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 5409624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7626240).

5409624 is an abundant number, since it is smaller than the sum of its proper divisors (9842856).

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

5409624 is a wasteful number, since it uses less digits than its factorization.

5409624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5409624 is about 2325.8598410050. The cubic root of 5409624 is about 175.5452274245.

The spelling of 5409624 in words is "five million, four hundred nine thousand, six hundred twenty-four".