420263415 has 48 divisors (see below), whose sum is σ = 855822240. Its totient is φ = 188087040.

The previous prime is 420263401. The next prime is 420263507. The reversal of 420263415 is 514362024.

420263415 is a `hidden beast` number, since 4 + 20 + 2 + 634 + 1 + 5 = 666.

It is not a de Polignac number, because 420263415 - 2⁹ = 420262903 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 26220 + ... + 39089.

It is an arithmetic number, because the mean of its divisors is an integer number (17829630).

Almost surely, 2^420263415 is an apocalyptic number.

420263415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420263415 is an abundant number, since it is smaller than the sum of its proper divisors (435558825).

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

420263415 is a wasteful number, since it uses less digits than its factorization.

420263415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65344 (or 65341 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 420263415 is about 20500.3271925109. The cubic root of 420263415 is about 749.0437680120.

The spelling of 420263415 in words is "four hundred twenty million, two hundred sixty-three thousand, four hundred fifteen".