8500464 has 100 divisors (see below), whose sum is σ = 28147504. Its totient is φ = 2426112.

The previous prime is 8500447. The next prime is 8500483. The reversal of 8500464 is 4640058.

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 19 ways as a sum of consecutive naturals, for example, 8604 + ... + 9540.

Almost surely, 2^8500464 is an apocalyptic number.

8500464 is a gapful number since it is divisible by the number (84) 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 8500464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14073752).

8500464 is an abundant number, since it is smaller than the sum of its proper divisors (19647040).

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

8500464 is a wasteful number, since it uses less digits than its factorization.

8500464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 949 counting only the distinct ones).

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

The square root of 8500464 is about 2915.5555216802. Note that the first 4 decimals coincide. The cubic root of 8500464 is about 204.0864685341.

The spelling of 8500464 in words is "eight million, five hundred thousand, four hundred sixty-four".