457493220 has 72 divisors (see below), whose sum is σ = 1390367160. Its totient is φ = 121766400.

The previous prime is 457493203. The next prime is 457493221. The reversal of 457493220 is 22394754.

It can be written as a sum of positive squares in 4 ways, for example, as 267715044 + 189778176 = 16362^2 + 13776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (457493221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106066 + ... + 110294.

It is an arithmetic number, because the mean of its divisors is an integer number (19310655).

Almost surely, 2^457493220 is an apocalyptic number.

It is an amenable number.

457493220 is an abundant number, since it is smaller than the sum of its proper divisors (932873940).

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

457493220 is a wasteful number, since it uses less digits than its factorization.

457493220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4845 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 457493220 is about 21389.0911447869. The cubic root of 457493220 is about 770.5394656656.

The spelling of 457493220 in words is "four hundred fifty-seven million, four hundred ninety-three thousand, two hundred twenty".