457703220 has 192 divisors, whose sum is σ = 1488420864. Its totient is φ = 104163840.

The previous prime is 457703149. The next prime is 457703221. The reversal of 457703220 is 22307754.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457703221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 555729 + ... + 556551.

It is an arithmetic number, because the mean of its divisors is an integer number (7752192).

Almost surely, 2^457703220 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 457703220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744210432).

457703220 is an abundant number, since it is smaller than the sum of its proper divisors (1030717644).

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

457703220 is a wasteful number, since it uses less digits than its factorization.

457703220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 457703220 is about 21393.9996260634. Note that the first 3 decimals coincide. The cubic root of 457703220 is about 770.6573461269.

The spelling of 457703220 in words is "four hundred fifty-seven million, seven hundred three thousand, two hundred twenty".