457835561 has 12 divisors (see below), whose sum is σ = 476975772. Its totient is φ = 439200000.

The previous prime is 457835549. The next prime is 457835591. The reversal of 457835561 is 165538754.

It can be written as a sum of positive squares in 6 ways, for example, as 266179225 + 191656336 = 16315^2 + 13844^2 .

It is not a de Polignac number, because 457835561 - 2¹⁰ = 457834537 is a prime.

It is a super-2 number, since 2×457835561² = 419226801832369442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (457835501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151061 + ... + 154061.

It is an arithmetic number, because the mean of its divisors is an integer number (39747981).

Almost surely, 2^457835561 is an apocalyptic number.

457835561 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

457835561 is a deficient number, since it is larger than the sum of its proper divisors (19140211).

457835561 is an equidigital number, since it uses as much as digits as its factorization.

457835561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3103 counting only the distinct ones).

The product of its digits is 504000, while the sum is 44.

The square root of 457835561 is about 21397.0923491955. The cubic root of 457835561 is about 770.7316153121.

The spelling of 457835561 in words is "four hundred fifty-seven million, eight hundred thirty-five thousand, five hundred sixty-one".