421920576 has 420 divisors, whose sum is σ = 1597676256. Its totient is φ = 108864000.

The previous prime is 421920559. The next prime is 421920607. The reversal of 421920576 is 675029124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 421920576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2794101 + ... + 2794251.

Almost surely, 2^421920576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421920576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798838128).

421920576 is an abundant number, since it is smaller than the sum of its proper divisors (1175755680).

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

421920576 is a wasteful number, since it uses less digits than its factorization.

421920576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 421920576 is about 20540.7053432934. The cubic root of 421920576 is about 750.0270070275.

The spelling of 421920576 in words is "four hundred twenty-one million, nine hundred twenty thousand, five hundred seventy-six".