456672401 has 2 divisors, whose sum is σ = 456672402. Its totient is φ = 456672400.

The previous prime is 456672397. The next prime is 456672421. The reversal of 456672401 is 104276654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 330694225 + 125978176 = 18185^2 + 11224^2 .

It is a cyclic number.

It is not a de Polignac number, because 456672401 - 2² = 456672397 is a prime.

It is not a weakly prime, because it can be changed into another prime (456672421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228336200 + 228336201.

It is an arithmetic number, because the mean of its divisors is an integer number (228336201).

Almost surely, 2^456672401 is an apocalyptic number.

It is an amenable number.

456672401 is a deficient number, since it is larger than the sum of its proper divisors (1).

456672401 is an equidigital number, since it uses as much as digits as its factorization.

456672401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 456672401 is about 21369.8947353514. The cubic root of 456672401 is about 770.0783644312.

It can be divided in two parts, 4566 and 72401, that added together give a palindrome (76967).

The spelling of 456672401 in words is "four hundred fifty-six million, six hundred seventy-two thousand, four hundred one".