457950 has 48 divisors (see below), whose sum is σ = 1178496. Its totient is φ = 117600.

The previous prime is 457943. The next prime is 457979. The reversal of 457950 is 59754.

457950 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

457950 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6415 + ... + 6485.

It is an arithmetic number, because the mean of its divisors is an integer number (24552).

2⁴⁵⁷⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589248).

457950 is an abundant number, since it is smaller than the sum of its proper divisors (720546).

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

457950 is a wasteful number, since it uses less digits than its factorization.

457950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 457950 is about 676.7200307365. The cubic root of 457950 is about 77.0795826436.

The spelling of 457950 in words is "four hundred fifty-seven thousand, nine hundred fifty".