420091072 has 42 divisors (see below), whose sum is σ = 848771988. Its totient is φ = 206249472.

The previous prime is 420091069. The next prime is 420091099. The reversal of 420091072 is 270190024.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1341988 + ... + 1342300.

Almost surely, 2^420091072 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 420091072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424385994).

420091072 is an abundant number, since it is smaller than the sum of its proper divisors (428680916).

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

420091072 is an frugal number, since it uses more digits than its factorization.

420091072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 420091072 is about 20496.1233407686. The cubic root of 420091072 is about 748.9413639040.

The spelling of 420091072 in words is "four hundred twenty million, ninety-one thousand, seventy-two".