8305254000 has 480 divisors, whose sum is σ = 31431988224. Its totient is φ = 2115590400.

The previous prime is 8305253987. The next prime is 8305254017. The reversal of 8305254000 is 4525038.

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 95 ways as a sum of consecutive naturals, for example, 11177629 + ... + 11178371.

Almost surely, 2^8305254000 is an apocalyptic number.

8305254000 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 8305254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15715994112).

8305254000 is an abundant number, since it is smaller than the sum of its proper divisors (23126734224).

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

8305254000 is a wasteful number, since it uses less digits than its factorization.

8305254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 776 counting only the distinct ones).

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

The square root of 8305254000 is about 91133.1663007491. The cubic root of 8305254000 is about 2025.1209804264.

Adding to 8305254000 its reverse (4525038), we get a palindrome (8309779038).

The spelling of 8305254000 in words is "eight billion, three hundred five million, two hundred fifty-four thousand".