457333448 has 64 divisors (see below), whose sum is σ = 1014552000. Its totient is φ = 190529280.

The previous prime is 457333447. The next prime is 457333489. The reversal of 457333448 is 844333754.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (457333447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169115 + ... + 171797.

It is an arithmetic number, because the mean of its divisors is an integer number (15852375).

Almost surely, 2^457333448 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 457333448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507276000).

457333448 is an abundant number, since it is smaller than the sum of its proper divisors (557218552).

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

457333448 is a wasteful number, since it uses less digits than its factorization.

457333448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2858 counting only the distinct ones).

The product of its digits is 483840, while the sum is 41.

The square root of 457333448 is about 21385.3559240897. The cubic root of 457333448 is about 770.4497558001.

The spelling of 457333448 in words is "four hundred fifty-seven million, three hundred thirty-three thousand, four hundred forty-eight".