457345224 has 128 divisors (see below), whose sum is σ = 1481760000. Its totient is φ = 130648896.

The previous prime is 457345223. The next prime is 457345241. The reversal of 457345224 is 422543754.

It is a super-2 number, since 2×457345224² = 418329307831220352, which contains 22 as substring.

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 (457345223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71002 + ... + 77174.

It is an arithmetic number, because the mean of its divisors is an integer number (11576250).

Almost surely, 2^457345224 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 457345224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740880000).

457345224 is an abundant number, since it is smaller than the sum of its proper divisors (1024414776).

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

457345224 is a wasteful number, since it uses less digits than its factorization.

457345224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209 (or 6185 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 457345224 is about 21385.6312509124. The cubic root of 457345224 is about 770.4563685815.

Adding to 457345224 its reverse (422543754), we get a palindrome (879888978).

The spelling of 457345224 in words is "four hundred fifty-seven million, three hundred forty-five thousand, two hundred twenty-four".