457380 has 144 divisors (see below), whose sum is σ = 1787520. Its totient is φ = 95040.

The previous prime is 457367. The next prime is 457381. The reversal of 457380 is 83754.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (457381) 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, 41575 + ... + 41585.

2⁴⁵⁷³⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893760).

457380 is an abundant number, since it is smaller than the sum of its proper divisors (1330140).

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

457380 is a wasteful number, since it uses less digits than its factorization.

457380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 457380 is about 676.2987505533. The cubic root of 457380 is about 77.0475896289.

The spelling of 457380 in words is "four hundred fifty-seven thousand, three hundred eighty".