5459360 has 48 divisors (see below), whose sum is σ = 13041000. Its totient is φ = 2159616.

The previous prime is 5459357. The next prime is 5459401. The reversal of 5459360 is 639545.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4545424 + 913936 = 2132^2 + 956^2 .

It is a super-2 number, since 2×5459360² = 59609223219200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23726 + ... + 23954.

Almost surely, 2^5459360 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 5459360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520500).

5459360 is an abundant number, since it is smaller than the sum of its proper divisors (7581640).

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

5459360 is a wasteful number, since it uses less digits than its factorization.

5459360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 5459360 is about 2336.5273377386. The cubic root of 5459360 is about 176.0815737560.

The spelling of 5459360 in words is "five million, four hundred fifty-nine thousand, three hundred sixty".