420893144 has 48 divisors (see below), whose sum is σ = 920766600. Its totient is φ = 179843328.

The previous prime is 420893071. The next prime is 420893147. The reversal of 420893144 is 441398024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420893147) 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 11 ways as a sum of consecutive naturals, for example, 147152 + ... + 149984.

Almost surely, 2^420893144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420893144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460383300).

420893144 is an abundant number, since it is smaller than the sum of its proper divisors (499873456).

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

420893144 is a wasteful number, since it uses less digits than its factorization.

420893144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 420893144 is about 20515.6804420424. The cubic root of 420893144 is about 749.4177074382.

The spelling of 420893144 in words is "four hundred twenty million, eight hundred ninety-three thousand, one hundred forty-four".