420924096 has 168 divisors, whose sum is σ = 1264798080. Its totient is φ = 133668864.

The previous prime is 420924089. The next prime is 420924103. The reversal of 420924096 is 690429024.

It is an interprime number because it is at equal distance from previous prime (420924089) and next prime (420924103).

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 420924096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1887441 + ... + 1887663.

It is an arithmetic number, because the mean of its divisors is an integer number (7528560).

Almost surely, 2^420924096 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 420924096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632399040).

420924096 is an abundant number, since it is smaller than the sum of its proper divisors (843873984).

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

420924096 is a wasteful number, since it uses less digits than its factorization.

420924096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 420924096 is about 20516.4347780018. The cubic root of 420924096 is about 749.4360774280.

The spelling of 420924096 in words is "four hundred twenty million, nine hundred twenty-four thousand, ninety-six".