457470 has 96 divisors (see below), whose sum is σ = 1415232. Its totient is φ = 101376.

The previous prime is 457469. The next prime is 457507. The reversal of 457470 is 74754.

457470 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

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, 19879 + ... + 19901.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2⁴⁵⁷⁴⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616).

457470 is an abundant number, since it is smaller than the sum of its proper divisors (957762).

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

457470 is a wasteful number, since it uses less digits than its factorization.

457470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 457470 is about 676.3652859217. The cubic root of 457470 is about 77.0526429240.

The spelling of 457470 in words is "four hundred fifty-seven thousand, four hundred seventy".