457380360 has 96 divisors (see below), whose sum is σ = 1491048000. Its totient is φ = 121593984.

The previous prime is 457380349. The next prime is 457380361. The reversal of 457380360 is 63083754.

It is a happy number.

457380360 is a `hidden beast` number, since 4 + 573 + 80 + 3 + 6 + 0 = 666.

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 (457380361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127471 + ... + 131009.

It is an arithmetic number, because the mean of its divisors is an integer number (15531750).

Almost surely, 2^457380360 is an apocalyptic number.

457380360 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 457380360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745524000).

457380360 is an abundant number, since it is smaller than the sum of its proper divisors (1033667640).

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

457380360 is a wasteful number, since it uses less digits than its factorization.

457380360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 457380360 is about 21386.4527212906. The cubic root of 457380360 is about 770.4760984343.

The spelling of 457380360 in words is "four hundred fifty-seven million, three hundred eighty thousand, three hundred sixty".