420413994 has 96 divisors (see below), whose sum is σ = 1223074944. Its totient is φ = 100794240.

The previous prime is 420413947. The next prime is 420414019. The reversal of 420413994 is 499314024.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6352 + ... + 29684.

It is an arithmetic number, because the mean of its divisors is an integer number (12740364).

Almost surely, 2^420413994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420413994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611537472).

420413994 is an abundant number, since it is smaller than the sum of its proper divisors (802660950).

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

420413994 is a wasteful number, since it uses less digits than its factorization.

420413994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23372 (or 23369 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 420413994 is about 20503.9994635193. Note that the first 3 decimals coincide. The cubic root of 420413994 is about 749.1332173029.

It can be divided in two parts, 420 and 413994, that added together give a palindrome (414414).

The spelling of 420413994 in words is "four hundred twenty million, four hundred thirteen thousand, nine hundred ninety-four".