457794360 has 384 divisors, whose sum is σ = 1725235200. Its totient is φ = 104509440.

The previous prime is 457794353. The next prime is 457794361. The reversal of 457794360 is 63497754.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457794361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3604617 + ... + 3604743.

It is an arithmetic number, because the mean of its divisors is an integer number (4492800).

Almost surely, 2^457794360 is an apocalyptic number.

457794360 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 457794360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862617600).

457794360 is an abundant number, since it is smaller than the sum of its proper divisors (1267440840).

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

457794360 is a wasteful number, since it uses less digits than its factorization.

457794360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 457794360 is about 21396.1295565343. The cubic root of 457794360 is about 770.7084950271.

The spelling of 457794360 in words is "four hundred fifty-seven million, seven hundred ninety-four thousand, three hundred sixty".