457348320 has 288 divisors, whose sum is σ = 1834376544. Its totient is φ = 102297600.

The previous prime is 457348319. The next prime is 457348349. The reversal of 457348320 is 23843754.

It is a happy number.

457348320 is a `hidden beast` number, since 4 + 573 + 4 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204810 + ... + 207030.

It is an arithmetic number, because the mean of its divisors is an integer number (6369363).

Almost surely, 2^457348320 is an apocalyptic number.

457348320 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 457348320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917188272).

457348320 is an abundant number, since it is smaller than the sum of its proper divisors (1377028224).

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

457348320 is a wasteful number, since it uses less digits than its factorization.

457348320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 457348320 is about 21385.7036358405. The cubic root of 457348320 is about 770.4581071133.

The spelling of 457348320 in words is "four hundred fifty-seven million, three hundred forty-eight thousand, three hundred twenty".