457436801 has 2 divisors, whose sum is σ = 457436802. Its totient is φ = 457436800.

The previous prime is 457436797. The next prime is 457436803. The reversal of 457436801 is 108634754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 356454400 + 100982401 = 18880^2 + 10049^2 .

It is a cyclic number.

It is not a de Polignac number, because 457436801 - 2² = 457436797 is a prime.

It is a super-2 number, since 2×457436801² = 418496853818227202, which contains 22 as substring.

Together with 457436803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (457436803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228718400 + 228718401.

It is an arithmetic number, because the mean of its divisors is an integer number (228718401).

Almost surely, 2^457436801 is an apocalyptic number.

It is an amenable number.

457436801 is a deficient number, since it is larger than the sum of its proper divisors (1).

457436801 is an equidigital number, since it uses as much as digits as its factorization.

457436801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 457436801 is about 21387.7722308800. The cubic root of 457436801 is about 770.5077895289.

The spelling of 457436801 in words is "four hundred fifty-seven million, four hundred thirty-six thousand, eight hundred one".