458994920 has 32 divisors (see below), whose sum is σ = 1033364520. Its totient is φ = 183486720.

The previous prime is 458994911. The next prime is 458994929. The reversal of 458994920 is 29499854.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (458994911) and next prime (458994929).

It can be written as a sum of positive squares in 4 ways, for example, as 439405444 + 19589476 = 20962^2 + 4426^2 .

It is not an unprimeable number, because it can be changed into a prime (458994929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105590 + ... + 109850.

Almost surely, 2^458994920 is an apocalyptic number.

458994920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

458994920 is an abundant number, since it is smaller than the sum of its proper divisors (574369600).

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

458994920 is a wasteful number, since it uses less digits than its factorization.

458994920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965 (or 6961 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The square root of 458994920 is about 21424.1667282534. The cubic root of 458994920 is about 771.3816314113.

The spelling of 458994920 in words is "four hundred fifty-eight million, nine hundred ninety-four thousand, nine hundred twenty".