457210820 has 48 divisors (see below), whose sum is σ = 1057650048. Its totient is φ = 164636160.

The previous prime is 457210811. The next prime is 457210823. The reversal of 457210820 is 28012754.

It is not an unprimeable number, because it can be changed into a prime (457210823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12572 + ... + 32748.

It is an arithmetic number, because the mean of its divisors is an integer number (22034376).

Almost surely, 2^457210820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457210820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528825024).

457210820 is an abundant number, since it is smaller than the sum of its proper divisors (600439228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457210820 is a wasteful number, since it uses less digits than its factorization.

457210820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20300 (or 20298 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 457210820 is about 21382.4886297175. The cubic root of 457210820 is about 770.3808876261.

The spelling of 457210820 in words is "four hundred fifty-seven million, two hundred ten thousand, eight hundred twenty".