458400735401 has 12 divisors (see below), whose sum is σ = 533287918800. Its totient is φ = 392880839400.

The previous prime is 458400735391. The next prime is 458400735413. The reversal of 458400735401 is 104537004854.

It is not a de Polignac number, because 458400735401 - 2⁶ = 458400735337 is a prime.

It is a super-2 number, since 2×458400735401² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (458400731401) 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 11 ways as a sum of consecutive naturals, for example, 173426 + ... + 973076.

It is an arithmetic number, because the mean of its divisors is an integer number (44440659900).

Almost surely, 2^458400735401 is an apocalyptic number.

It is an amenable number.

458400735401 is a deficient number, since it is larger than the sum of its proper divisors (74887183399).

458400735401 is a wasteful number, since it uses less digits than its factorization.

458400735401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811364 (or 811357 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 41.

The spelling of 458400735401 in words is "four hundred fifty-eight billion, four hundred million, seven hundred thirty-five thousand, four hundred one".