420795648 has 360 divisors, whose sum is σ = 1551216128. Its totient is φ = 110481408.

The previous prime is 420795647. The next prime is 420795659. The reversal of 420795648 is 846597024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420795647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1886865 + ... + 1887087.

Almost surely, 2^420795648 is an apocalyptic number.

420795648 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 420795648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775608064).

420795648 is an abundant number, since it is smaller than the sum of its proper divisors (1130420480).

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

420795648 is a wasteful number, since it uses less digits than its factorization.

420795648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 420795648 is about 20513.3041707083. The cubic root of 420795648 is about 749.3598377452.

The spelling of 420795648 in words is "four hundred twenty million, seven hundred ninety-five thousand, six hundred forty-eight".