8456464 has 15 divisors (see below), whose sum is σ = 16406967. Its totient is φ = 4222416.

The previous prime is 8456419. The next prime is 8456467. The reversal of 8456464 is 4646548.

8456464 = 248² + 249² + ... + 343².

The square root of 8456464 is 2908.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8456467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11269 + ... + 11995.

Almost surely, 2^8456464 is an apocalyptic number.

8456464 is the 2908-th square number.

It is an amenable number.

8456464 is a deficient number, since it is larger than the sum of its proper divisors (7950503).

8456464 is an frugal number, since it uses more digits than its factorization.

8456464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 729 counting only the distinct ones).

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

The cubic root of 8456464 is about 203.7337292388.

It can be divided in two parts, 845646 and 4, that added together give a triangular number (845650 = T₁₃₀₀).

The spelling of 8456464 in words is "eight million, four hundred fifty-six thousand, four hundred sixty-four".