420420090 has 32 divisors (see below), whose sum is σ = 1009889280. Its totient is φ = 112014144.

The previous prime is 420420083. The next prime is 420420097. The reversal of 420420090 is 90024024.

It is an interprime number because it is at equal distance from previous prime (420420083) and next prime (420420097).

It is not an unprimeable number, because it can be changed into a prime (420420097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32892 + ... + 43848.

It is an arithmetic number, because the mean of its divisors is an integer number (31559040).

Almost surely, 2^420420090 is an apocalyptic number.

420420090 is an abundant number, since it is smaller than the sum of its proper divisors (589469190).

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

420420090 is a wasteful number, since it uses less digits than its factorization.

420420090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12246.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 420420090 is about 20504.1481169055. The cubic root of 420420090 is about 749.1368380942.

The spelling of 420420090 in words is "four hundred twenty million, four hundred twenty thousand, ninety".