420365367 has 36 divisors (see below), whose sum is σ = 647258040. Its totient is φ = 262836576.

The previous prime is 420365359. The next prime is 420365371. The reversal of 420365367 is 763563024.

It is not a de Polignac number, because 420365367 - 2³ = 420365359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420365347) 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 35 ways as a sum of consecutive naturals, for example, 353548 + ... + 354734.

It is an arithmetic number, because the mean of its divisors is an integer number (17979390).

Almost surely, 2^420365367 is an apocalyptic number.

420365367 is a deficient number, since it is larger than the sum of its proper divisors (226892673).

420365367 is a wasteful number, since it uses less digits than its factorization.

420365367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 420365367 is about 20502.8136361817. The cubic root of 420365367 is about 749.1043334677.

The spelling of 420365367 in words is "four hundred twenty million, three hundred sixty-five thousand, three hundred sixty-seven".