8253414000 has 400 divisors, whose sum is σ = 32113361280. Its totient is φ = 2031091200.

The previous prime is 8253413989. The next prime is 8253414011. The reversal of 8253414000 is 4143528.

8253414000 is a `hidden beast` number, since 8 + 253 + 4 + 1 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8253413989) and next prime (8253414011).

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2104041 + ... + 2107959.

Almost surely, 2^8253414000 is an apocalyptic number.

8253414000 is a gapful number since it is divisible by the number (80) 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 8253414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056680640).

8253414000 is an abundant number, since it is smaller than the sum of its proper divisors (23859947280).

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

8253414000 is a wasteful number, since it uses less digits than its factorization.

8253414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8253414000 is about 90848.3021305297. The cubic root of 8253414000 is about 2020.8986949726.

Adding to 8253414000 its reverse (4143528), we get a palindrome (8257557528).

The spelling of 8253414000 in words is "eight billion, two hundred fifty-three million, four hundred fourteen thousand".