457000993441 has 2 divisors, whose sum is σ = 457000993442. Its totient is φ = 457000993440.

The previous prime is 457000993387. The next prime is 457000993507. The reversal of 457000993441 is 144399000754.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 414864810000 + 42136183441 = 644100^2 + 205271^2 .

It is a cyclic number.

It is not a de Polignac number, because 457000993441 - 2²⁵ = 456967439009 is a prime.

It is a super-3 number, since 3×457000993441³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 457000993391 and 457000993400.

It is not a weakly prime, because it can be changed into another prime (457000993541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228500496720 + 228500496721.

It is an arithmetic number, because the mean of its divisors is an integer number (228500496721).

Almost surely, 2^457000993441 is an apocalyptic number.

It is an amenable number.

457000993441 is a deficient number, since it is larger than the sum of its proper divisors (1).

457000993441 is an equidigital number, since it uses as much as digits as its factorization.

457000993441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 457000993441 in words is "four hundred fifty-seven billion, nine hundred ninety-three thousand, four hundred forty-one".