420186090 has 64 divisors (see below), whose sum is σ = 1046817792. Its totient is φ = 107827200.

The previous prime is 420186079. The next prime is 420186113. The reversal of 420186090 is 90681024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178320 + ... + 180660.

It is an arithmetic number, because the mean of its divisors is an integer number (16356528).

Almost surely, 2^420186090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420186090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523408896).

420186090 is an abundant number, since it is smaller than the sum of its proper divisors (626631702).

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

420186090 is a wasteful number, since it uses less digits than its factorization.

420186090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 420186090 is about 20498.4411602444. The cubic root of 420186090 is about 748.9978259037.

The spelling of 420186090 in words is "four hundred twenty million, one hundred eighty-six thousand, ninety".