5409360 has 120 divisors (see below), whose sum is σ = 19846944. Its totient is φ = 1309440.

The previous prime is 5409353. The next prime is 5409361. The reversal of 5409360 is 639045.

5409360 = T₂₅₇ + T₂₅₈ + ... + T₃₆₆.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5409360² = 58522351219200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5409361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7579 + ... + 8261.

Almost surely, 2^5409360 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 5409360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9923472).

5409360 is an abundant number, since it is smaller than the sum of its proper divisors (14437584).

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

5409360 is a wasteful number, since it uses less digits than its factorization.

5409360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5409360 is about 2325.8030871078. The cubic root of 5409360 is about 175.5423717304.

The spelling of 5409360 in words is "five million, four hundred nine thousand, three hundred sixty".