420458375392 has 96 divisors (see below), whose sum is σ = 912690979200. Its totient is φ = 189078105600.

The previous prime is 420458375383. The next prime is 420458375411. The reversal of 420458375392 is 293573854024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26504359 + ... + 26520217.

It is an arithmetic number, because the mean of its divisors is an integer number (9507197700).

Almost surely, 2^420458375392 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 420458375392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456345489600).

420458375392 is an abundant number, since it is smaller than the sum of its proper divisors (492232603808).

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

420458375392 is a wasteful number, since it uses less digits than its factorization.

420458375392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16680 (or 16672 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 420458375392 in words is "four hundred twenty billion, four hundred fifty-eight million, three hundred seventy-five thousand, three hundred ninety-two".