457706821 has 48 divisors (see below), whose sum is σ = 570576384. Its totient is φ = 364320000.

The previous prime is 457706779. The next prime is 457706833. The reversal of 457706821 is 128607754.

It is not a de Polignac number, because 457706821 - 2¹¹ = 457704773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457706891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3031096 + ... + 3031246.

It is an arithmetic number, because the mean of its divisors is an integer number (11887008).

Almost surely, 2^457706821 is an apocalyptic number.

457706821 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

457706821 is a deficient number, since it is larger than the sum of its proper divisors (112869563).

457706821 is a wasteful number, since it uses less digits than its factorization.

457706821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 457706821 is about 21394.0837850094. The cubic root of 457706821 is about 770.6593671816.

The spelling of 457706821 in words is "four hundred fifty-seven million, seven hundred six thousand, eight hundred twenty-one".