421296720 has 320 divisors, whose sum is σ = 1529902080. Its totient is φ = 95526912.

The previous prime is 421296697. The next prime is 421296721. The reversal of 421296720 is 27692124.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421296721) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8963737 + ... + 8963783.

It is an arithmetic number, because the mean of its divisors is an integer number (4780944).

Almost surely, 2^421296720 is an apocalyptic number.

421296720 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 421296720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764951040).

421296720 is an abundant number, since it is smaller than the sum of its proper divisors (1108605360).

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

421296720 is a wasteful number, since it uses less digits than its factorization.

421296720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 421296720 is about 20525.5138790726. The cubic root of 421296720 is about 749.6571588594.

The spelling of 421296720 in words is "four hundred twenty-one million, two hundred ninety-six thousand, seven hundred twenty".