8253408 has 48 divisors (see below), whose sum is σ = 21848400. Its totient is φ = 2727936.

The previous prime is 8253397. The next prime is 8253431. The reversal of 8253408 is 8043528.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×8253408² = 136237487228928, which contains 22 as substring.

It is a congruent number.

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, 14016 + ... + 14592.

It is an arithmetic number, because the mean of its divisors is an integer number (455175).

Almost surely, 2^8253408 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 8253408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10924200).

8253408 is an abundant number, since it is smaller than the sum of its proper divisors (13594992).

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

8253408 is a wasteful number, since it uses less digits than its factorization.

8253408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 8253408 is about 2872.8745186659. The cubic root of 8253408 is about 202.0898205260.

The spelling of 8253408 in words is "eight million, two hundred fifty-three thousand, four hundred eight".