800463552 has 112 divisors (see below), whose sum is σ = 2427378432. Its totient is φ = 228049920.

The previous prime is 800463551. The next prime is 800463553. The reversal of 800463552 is 255364008.

800463552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (800463551) and next prime (800463553).

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (800463551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659298 + ... + 660510.

Almost surely, 2^800463552 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 800463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213689216).

800463552 is an abundant number, since it is smaller than the sum of its proper divisors (1626914880).

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

800463552 is a wasteful number, since it uses less digits than its factorization.

800463552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 800463552 is about 28292.4645798135. The cubic root of 800463552 is about 928.4970335845.

The spelling of 800463552 in words is "eight hundred million, four hundred sixty-three thousand, five hundred fifty-two".