420366492 has 216 divisors, whose sum is σ = 1390779936. Its totient is φ = 105912576.

The previous prime is 420366487. The next prime is 420366511. The reversal of 420366492 is 294663024.

420366492 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 6 + 649 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 527038 + ... + 527834.

It is an arithmetic number, because the mean of its divisors is an integer number (6438796).

Almost surely, 2^420366492 is an apocalyptic number.

420366492 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420366492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695389968).

420366492 is an abundant number, since it is smaller than the sum of its proper divisors (970413444).

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

420366492 is a wasteful number, since it uses less digits than its factorization.

420366492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 420366492 is about 20502.8410714223. The cubic root of 420366492 is about 749.1050017290.

The spelling of 420366492 in words is "four hundred twenty million, three hundred sixty-six thousand, four hundred ninety-two".