800456464 has 10 divisors (see below), whose sum is σ = 1550884430. Its totient is φ = 400228224.

The previous prime is 800456431. The next prime is 800456467. The reversal of 800456464 is 464654008.

It can be written as a sum of positive squares in only one way, i.e., 719312400 + 81144064 = 26820^2 + 9008^2 .

It is not an unprimeable number, because it can be changed into a prime (800456467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25014249 + ... + 25014280.

It is an arithmetic number, because the mean of its divisors is an integer number (155088443).

Almost surely, 2^800456464 is an apocalyptic number.

It is an amenable number.

800456464 is a deficient number, since it is larger than the sum of its proper divisors (750427966).

800456464 is a wasteful number, since it uses less digits than its factorization.

800456464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50028537 (or 50028531 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 800456464 is about 28292.3393165005. The cubic root of 800456464 is about 928.4942930031.

The spelling of 800456464 in words is "eight hundred million, four hundred fifty-six thousand, four hundred sixty-four".