420968448 has 192 divisors, whose sum is σ = 1305158400. Its totient is φ = 133816320.

The previous prime is 420968413. The next prime is 420968459. The reversal of 420968448 is 844869024.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1271643 + ... + 1271973.

It is an arithmetic number, because the mean of its divisors is an integer number (6797700).

Almost surely, 2^420968448 is an apocalyptic number.

420968448 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 420968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652579200).

420968448 is an abundant number, since it is smaller than the sum of its proper divisors (884189952).

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

420968448 is a wasteful number, since it uses less digits than its factorization.

420968448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 359 counting only the distinct ones).

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

The square root of 420968448 is about 20517.5156390826. The cubic root of 420968448 is about 749.4623987386.

The spelling of 420968448 in words is "four hundred twenty million, nine hundred sixty-eight thousand, four hundred forty-eight".