457349200 has 240 divisors, whose sum is σ = 1417052160. Its totient is φ = 137664000.

The previous prime is 457349183. The next prime is 457349203. The reversal of 457349200 is 2943754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457349203) 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 47 ways as a sum of consecutive naturals, for example, 954561 + ... + 955039.

It is an arithmetic number, because the mean of its divisors is an integer number (5904384).

Almost surely, 2^457349200 is an apocalyptic number.

457349200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457349200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708526080).

457349200 is an abundant number, since it is smaller than the sum of its proper divisors (959702960).

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

457349200 is a wasteful number, since it uses less digits than its factorization.

457349200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 457349200 is about 21385.7242103231. The cubic root of 457349200 is about 770.4586012681.

The spelling of 457349200 in words is "four hundred fifty-seven million, three hundred forty-nine thousand, two hundred".