420050592 has 144 divisors (see below), whose sum is σ = 1296667008. Its totient is φ = 128217600.

The previous prime is 420050573. The next prime is 420050611. The reversal of 420050592 is 295050024.

420050592 is a `hidden beast` number, since 4 + 20 + 0 + 50 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (420050573) and next prime (420050611).

It is a tau number, because it is divible by the number of its divisors (144).

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, 564973 + ... + 565715.

It is an arithmetic number, because the mean of its divisors is an integer number (9004632).

Almost surely, 2^420050592 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 420050592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648333504).

420050592 is an abundant number, since it is smaller than the sum of its proper divisors (876616416).

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

420050592 is a wasteful number, since it uses less digits than its factorization.

420050592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 420050592 is about 20495.1358131631. The cubic root of 420050592 is about 748.9173071203.

The spelling of 420050592 in words is "four hundred twenty million, fifty thousand, five hundred ninety-two".