420893145 has 32 divisors (see below), whose sum is σ = 755145600. Its totient is φ = 222409152.

The previous prime is 420893071. The next prime is 420893147. The reversal of 420893145 is 541398024.

420893145 is a `hidden beast` number, since 420 + 8 + 93 + 145 = 666.

It is not a de Polignac number, because 420893145 - 2⁸ = 420892889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420893147) 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, 414 + ... + 29016.

It is an arithmetic number, because the mean of its divisors is an integer number (23598300).

Almost surely, 2^420893145 is an apocalyptic number.

420893145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420893145 is a deficient number, since it is larger than the sum of its proper divisors (334252455).

420893145 is a wasteful number, since it uses less digits than its factorization.

420893145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28726 (or 28720 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 420893145 is about 20515.6804664140. The cubic root of 420893145 is about 749.4177080317.

The spelling of 420893145 in words is "four hundred twenty million, eight hundred ninety-three thousand, one hundred forty-five".