821465000 has 80 divisors (see below), whose sum is σ = 2026226400. Its totient is φ = 311256000.

The previous prime is 821464997. The next prime is 821465059. The reversal of 821465000 is 564128.

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, 90677 + ... + 99323.

It is an arithmetic number, because the mean of its divisors is an integer number (25327830).

Almost surely, 2^821465000 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 821465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013113200).

821465000 is an abundant number, since it is smaller than the sum of its proper divisors (1204761400).

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

821465000 is a wasteful number, since it uses less digits than its factorization.

821465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8692 (or 8673 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 821465000 is about 28661.2107211123. The cubic root of 821465000 is about 936.5472394659.

The spelling of 821465000 in words is "eight hundred twenty-one million, four hundred sixty-five thousand".