421890768 has 240 divisors, whose sum is σ = 1399035456. Its totient is φ = 121927680.

The previous prime is 421890767. The next prime is 421890787. The reversal of 421890768 is 867098124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421890767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859003 + ... + 859493.

Almost surely, 2^421890768 is an apocalyptic number.

421890768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421890768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699517728).

421890768 is an abundant number, since it is smaller than the sum of its proper divisors (977144688).

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

421890768 is a wasteful number, since it uses less digits than its factorization.

421890768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 421890768 is about 20539.9797468255. The cubic root of 421890768 is about 750.0093438836.

The spelling of 421890768 in words is "four hundred twenty-one million, eight hundred ninety thousand, seven hundred sixty-eight".