420946848 has 288 divisors, whose sum is σ = 1460531520. Its totient is φ = 117573120.

The previous prime is 420946831. The next prime is 420946849. The reversal of 420946848 is 848649024.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×420946848² = 354392497682270208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420946849) 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, 2582415 + ... + 2582577.

It is an arithmetic number, because the mean of its divisors is an integer number (5071290).

Almost surely, 2^420946848 is an apocalyptic number.

420946848 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 420946848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730265760).

420946848 is an abundant number, since it is smaller than the sum of its proper divisors (1039584672).

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

420946848 is a wasteful number, since it uses less digits than its factorization.

420946848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 420946848 is about 20516.9892528119. The cubic root of 420946848 is about 749.4495801495.

The spelling of 420946848 in words is "four hundred twenty million, nine hundred forty-six thousand, eight hundred forty-eight".