457032420 has 144 divisors (see below), whose sum is σ = 1580932080. Its totient is φ = 105873408.

The previous prime is 457032419. The next prime is 457032427. The reversal of 457032420 is 24230754.

It can be written as a sum of positive squares in 8 ways, for example, as 31270464 + 425761956 = 5592^2 + 20634^2 .

It is not an unprimeable number, because it can be changed into a prime (457032427) 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, 34036 + ... + 45524.

It is an arithmetic number, because the mean of its divisors is an integer number (10978695).

Almost surely, 2^457032420 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 457032420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790466040).

457032420 is an abundant number, since it is smaller than the sum of its proper divisors (1123899660).

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

457032420 is a wasteful number, since it uses less digits than its factorization.

457032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11534 (or 11529 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 457032420 is about 21378.3165848015. The cubic root of 457032420 is about 770.2806757737.

The spelling of 457032420 in words is "four hundred fifty-seven million, thirty-two thousand, four hundred twenty".