456854401 has 2 divisors, whose sum is σ = 456854402. Its totient is φ = 456854400.

The previous prime is 456854389. The next prime is 456854417. The reversal of 456854401 is 104458654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 411278400 + 45576001 = 20280^2 + 6751^2 .

It is a cyclic number.

It is not a de Polignac number, because 456854401 - 2⁹ = 456853889 is a prime.

It is not a weakly prime, because it can be changed into another prime (456854491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228427200 + 228427201.

It is an arithmetic number, because the mean of its divisors is an integer number (228427201).

Almost surely, 2^456854401 is an apocalyptic number.

It is an amenable number.

456854401 is a deficient number, since it is larger than the sum of its proper divisors (1).

456854401 is an equidigital number, since it uses as much as digits as its factorization.

456854401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 456854401 is about 21374.1526381749. The cubic root of 456854401 is about 770.1806519407.

It can be divided in two parts, 45685 and 4401, that added together give a triangular number (50086 = T₃₁₆).

The spelling of 456854401 in words is "four hundred fifty-six million, eight hundred fifty-four thousand, four hundred one".