458969616 has 120 divisors (see below), whose sum is σ = 1502255040. Its totient is φ = 128072448.

The previous prime is 458969603. The next prime is 458969629. The reversal of 458969616 is 616969854.

It is a happy number.

458969616 is a `hidden beast` number, since 458 + 96 + 96 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (458969603) and next prime (458969629).

It is a super-2 number, since 2×458969616² = 421306216822374912, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38050 + ... + 48638.

It is an arithmetic number, because the mean of its divisors is an integer number (12518792).

Almost surely, 2^458969616 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 458969616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751127520).

458969616 is an abundant number, since it is smaller than the sum of its proper divisors (1043285424).

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

458969616 is a wasteful number, since it uses less digits than its factorization.

458969616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10653 (or 10644 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 458969616 is about 21423.5761720587. The cubic root of 458969616 is about 771.3674559461.

The spelling of 458969616 in words is "four hundred fifty-eight million, nine hundred sixty-nine thousand, six hundred sixteen".