456834501 has 12 divisors (see below), whose sum is σ = 673912512. Its totient is φ = 298076136.

The previous prime is 456834493. The next prime is 456834503. The reversal of 456834501 is 105438654.

It is a happy number.

It is not a de Polignac number, because 456834501 - 2³ = 456834493 is a prime.

It is a super-2 number, since 2×456834501² = 417395522607838002, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456834503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 539571 + ... + 540416.

It is an arithmetic number, because the mean of its divisors is an integer number (56159376).

Almost surely, 2^456834501 is an apocalyptic number.

It is an amenable number.

456834501 is a deficient number, since it is larger than the sum of its proper divisors (217078011).

456834501 is a wasteful number, since it uses less digits than its factorization.

456834501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080040 (or 1080037 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 456834501 is about 21373.6871175752. The cubic root of 456834501 is about 770.1694690799.

The spelling of 456834501 in words is "four hundred fifty-six million, eight hundred thirty-four thousand, five hundred one".