420912960 has 224 divisors, whose sum is σ = 1490106240. Its totient is φ = 99950592.

The previous prime is 420912937. The next prime is 420912977. The reversal of 420912960 is 69219024.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 361339 + ... + 362501.

It is an arithmetic number, because the mean of its divisors is an integer number (6652260).

Almost surely, 2^420912960 is an apocalyptic number.

420912960 is a gapful number since it is divisible by the number (40) 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 420912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745053120).

420912960 is an abundant number, since it is smaller than the sum of its proper divisors (1069193280).

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

420912960 is a wasteful number, since it uses less digits than its factorization.

420912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 420912960 is about 20516.1633840248. The cubic root of 420912960 is about 749.4294683237.

The spelling of 420912960 in words is "four hundred twenty million, nine hundred twelve thousand, nine hundred sixty".