457204120 has 192 divisors, whose sum is σ = 1204035840. Its totient is φ = 155443200.

The previous prime is 457204081. The next prime is 457204133. The reversal of 457204120 is 21402754.

It is a congruent number.

It is an unprimeable number.

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, 11151300 + ... + 11151340.

It is an arithmetic number, because the mean of its divisors is an integer number (6271020).

Almost surely, 2^457204120 is an apocalyptic number.

457204120 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 457204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602017920).

457204120 is an abundant number, since it is smaller than the sum of its proper divisors (746831720).

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

457204120 is a wasteful number, since it uses less digits than its factorization.

457204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 457204120 is about 21382.3319588861. The cubic root of 457204120 is about 770.3771245356.

Adding to 457204120 its reverse (21402754), we get a palindrome (478606874).

The spelling of 457204120 in words is "four hundred fifty-seven million, two hundred four thousand, one hundred twenty".