801363456 has 280 divisors, whose sum is σ = 2549356920. Its totient is φ = 250822656.

The previous prime is 801363449. The next prime is 801363473. The reversal of 801363456 is 654363108.

801363456 is a `hidden beast` number, since 8 + 0 + 13 + 634 + 5 + 6 = 666.

It is a super-2 number, since 2×801363456² = 1284366777224527872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 801363456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7091656 + ... + 7091768.

Almost surely, 2^801363456 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 801363456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274678460).

801363456 is an abundant number, since it is smaller than the sum of its proper divisors (1747993464).

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

801363456 is an equidigital number, since it uses as much as digits as its factorization.

801363456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 801363456 is about 28308.3637111014. The cubic root of 801363456 is about 928.8448509079.

The spelling of 801363456 in words is "eight hundred one million, three hundred sixty-three thousand, four hundred fifty-six".