420924127 has 16 divisors (see below), whose sum is σ = 476195328. Its totient is φ = 369151200.

The previous prime is 420924103. The next prime is 420924149. The reversal of 420924127 is 721429024.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-420924127 is a prime.

It is a super-3 number, since 3×420924127³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420924227) 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 15 ways as a sum of consecutive naturals, for example, 40488 + ... + 49810.

It is an arithmetic number, because the mean of its divisors is an integer number (29762208).

Almost surely, 2^420924127 is an apocalyptic number.

420924127 is a deficient number, since it is larger than the sum of its proper divisors (55271201).

420924127 is a wasteful number, since it uses less digits than its factorization.

420924127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9510.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 420924127 is about 20516.4355334936. The cubic root of 420924127 is about 749.4360958261.

The spelling of 420924127 in words is "four hundred twenty million, nine hundred twenty-four thousand, one hundred twenty-seven".