457496 has 32 divisors (see below), whose sum is σ = 952560. Its totient is φ = 204672.

The previous prime is 457469. The next prime is 457507. The reversal of 457496 is 694754.

457496 = T₁₀₄ + T₁₀₅ + ... + T₁₅₆.

It is a congruent number.

It is an unprimeable number.

457496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 5471 + ... + 5553.

2⁴⁵⁷⁴⁹⁶ 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 457496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280).

457496 is an abundant number, since it is smaller than the sum of its proper divisors (495064).

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

457496 is a wasteful number, since it uses less digits than its factorization.

457496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 457496 is about 676.3845060319. The cubic root of 457496 is about 77.0541026414.

The spelling of 457496 in words is "four hundred fifty-seven thousand, four hundred ninety-six".