420375393 has 32 divisors (see below), whose sum is σ = 654305280. Its totient is φ = 266230800.

The previous prime is 420375377. The next prime is 420375409. The reversal of 420375393 is 393573024.

It is an interprime number because it is at equal distance from previous prime (420375377) and next prime (420375409).

It is not a de Polignac number, because 420375393 - 2⁴ = 420375377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420370393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91530 + ... + 96012.

It is an arithmetic number, because the mean of its divisors is an integer number (20447040).

Almost surely, 2^420375393 is an apocalyptic number.

It is an amenable number.

420375393 is a deficient number, since it is larger than the sum of its proper divisors (233929887).

420375393 is a wasteful number, since it uses less digits than its factorization.

420375393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 420375393 is about 20503.0581377511. The cubic root of 420375393 is about 749.1102889697.

The spelling of 420375393 in words is "four hundred twenty million, three hundred seventy-five thousand, three hundred ninety-three".