456894816 has 288 divisors, whose sum is σ = 1505806848. Its totient is φ = 120637440.

The previous prime is 456894803. The next prime is 456894829. The reversal of 456894816 is 618498654.

It is an interprime number because it is at equal distance from previous prime (456894803) and next prime (456894829).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4435821 + ... + 4435923.

It is an arithmetic number, because the mean of its divisors is an integer number (5228496).

Almost surely, 2^456894816 is an apocalyptic number.

456894816 is a gapful number since it is divisible by the number (46) 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 456894816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752903424).

456894816 is an abundant number, since it is smaller than the sum of its proper divisors (1048912032).

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

456894816 is a wasteful number, since it uses less digits than its factorization.

456894816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 456894816 is about 21375.0980348629. The cubic root of 456894816 is about 770.2033622639.

It can be divided in two parts, 45689 and 4816, that added together give a palindrome (50505).

The spelling of 456894816 in words is "four hundred fifty-six million, eight hundred ninety-four thousand, eight hundred sixteen".