5281416 has 96 divisors (see below), whose sum is σ = 17100000. Its totient is φ = 1505952.

The previous prime is 5281403. The next prime is 5281429. The reversal of 5281416 is 6141825.

5281416 = 304² + 305² + ... + 352².

It is an interprime number because it is at equal distance from previous prime (5281403) and next prime (5281429).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5281416.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10335 + ... + 10833.

It is an arithmetic number, because the mean of its divisors is an integer number (178125).

Almost surely, 2^5281416 is an apocalyptic number.

5281416 is a gapful number since it is divisible by the number (56) 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 5281416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8550000).

5281416 is an abundant number, since it is smaller than the sum of its proper divisors (11818584).

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

5281416 is a wasteful number, since it uses less digits than its factorization.

5281416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 511 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 5281416 is about 2298.1331554111. The cubic root of 5281416 is about 174.1473187556.

The spelling of 5281416 in words is "five million, two hundred eighty-one thousand, four hundred sixteen".