800415456 has 96 divisors (see below), whose sum is σ = 2203407360. Its totient is φ = 253929984.

The previous prime is 800415431. The next prime is 800415463. The reversal of 800415456 is 654514008.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504841 + ... + 506423.

It is an arithmetic number, because the mean of its divisors is an integer number (22952160).

Almost surely, 2^800415456 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 800415456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101703680).

800415456 is an abundant number, since it is smaller than the sum of its proper divisors (1402991904).

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

800415456 is a wasteful number, since it uses less digits than its factorization.

800415456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 800415456 is about 28291.6145880719. The cubic root of 800415456 is about 928.4784369069.

The spelling of 800415456 in words is "eight hundred million, four hundred fifteen thousand, four hundred fifty-six".