420159957 has 48 divisors (see below), whose sum is σ = 678615552. Its totient is φ = 230307840.

The previous prime is 420159953. The next prime is 420159959. The reversal of 420159957 is 759951024.

It is not a de Polignac number, because 420159957 - 2² = 420159953 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420159953) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 623973 + ... + 624645.

It is an arithmetic number, because the mean of its divisors is an integer number (14137824).

Almost surely, 2^420159957 is an apocalyptic number.

It is an amenable number.

420159957 is a deficient number, since it is larger than the sum of its proper divisors (258455595).

420159957 is a wasteful number, since it uses less digits than its factorization.

420159957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 420159957 is about 20497.8037116175. The cubic root of 420159957 is about 748.9822978901.

The spelling of 420159957 in words is "four hundred twenty million, one hundred fifty-nine thousand, nine hundred fifty-seven".