458800769 has 12 divisors (see below), whose sum is σ = 535798404. Its totient is φ = 391716864.

The previous prime is 458800759. The next prime is 458800799. The reversal of 458800769 is 967008854.

It can be written as a sum of positive squares in 2 ways, for example, as 433680625 + 25120144 = 20825^2 + 5012^2 .

It is not a de Polignac number, because 458800769 - 2⁴ = 458800753 is a prime.

It is a super-2 number, since 2×458800769² = 420996291269982722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (458800739) 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, 5624 + ... + 30809.

It is an arithmetic number, because the mean of its divisors is an integer number (44649867).

Almost surely, 2^458800769 is an apocalyptic number.

458800769 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

458800769 is a deficient number, since it is larger than the sum of its proper divisors (76997635).

458800769 is a wasteful number, since it uses less digits than its factorization.

458800769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36704 (or 36697 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 458800769 is about 21419.6351276113. The cubic root of 458800769 is about 771.2728534198.

The spelling of 458800769 in words is "four hundred fifty-eight million, eight hundred thousand, seven hundred sixty-nine".