458972146402 has 256 divisors, whose sum is σ = 960906240000. Its totient is φ = 162341625600.

The previous prime is 458972146393. The next prime is 458972146403. The reversal of 458972146402 is 204641279854.

It is a self number, because there is not a number n which added to its sum of digits gives 458972146402.

It is not an unprimeable number, because it can be changed into a prime (458972146403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 694359952 + ... + 694360612.

It is an arithmetic number, because the mean of its divisors is an integer number (3753540000).

Almost surely, 2^458972146402 is an apocalyptic number.

458972146402 is an abundant number, since it is smaller than the sum of its proper divisors (501934093598).

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

458972146402 is a wasteful number, since it uses less digits than its factorization.

458972146402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 458972146402 in words is "four hundred fifty-eight billion, nine hundred seventy-two million, one hundred forty-six thousand, four hundred two".