812463360 has 144 divisors (see below), whose sum is σ = 2611937664. Its totient is φ = 215228416.

The previous prime is 812463347. The next prime is 812463361. The reversal of 812463360 is 63364218.

It is a super-2 number, since 2×812463360² = 1320193422684979200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812463361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663709 + ... + 664931.

It is an arithmetic number, because the mean of its divisors is an integer number (18138456).

Almost surely, 2^812463360 is an apocalyptic number.

812463360 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 812463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305968832).

812463360 is an abundant number, since it is smaller than the sum of its proper divisors (1799474304).

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

812463360 is a wasteful number, since it uses less digits than its factorization.

812463360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 812463360 is about 28503.7429121159. The cubic root of 812463360 is about 933.1137624079.

The spelling of 812463360 in words is "eight hundred twelve million, four hundred sixty-three thousand, three hundred sixty".