5253408 has 144 divisors (see below), whose sum is σ = 16805880. Its totient is φ = 1548288.

The previous prime is 5253397. The next prime is 5253431. The reversal of 5253408 is 8043525.

5253408 is a `hidden beast` number, since 5 + 253 + 408 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5253264 + 144 = 2292^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5253408² = 55196591228928, which contains 22 as substring.

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, 141966 + ... + 142002.

Almost surely, 2^5253408 is an apocalyptic number.

5253408 is a gapful number since it is divisible by the number (58) 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 5253408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402940).

5253408 is an abundant number, since it is smaller than the sum of its proper divisors (11552472).

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

5253408 is a wasteful number, since it uses less digits than its factorization.

5253408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5253408 is about 2292.0314133973. The cubic root of 5253408 is about 173.8389314075.

The spelling of 5253408 in words is "five million, two hundred fifty-three thousand, four hundred eight".