419929020 has 216 divisors, whose sum is σ = 1514769984. Its totient is φ = 93848832.

The previous prime is 419928989. The next prime is 419929031. The reversal of 419929020 is 20929914.

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, 414034 + ... + 415046.

It is an arithmetic number, because the mean of its divisors is an integer number (7012824).

Almost surely, 2^419929020 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 419929020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757384992).

419929020 is an abundant number, since it is smaller than the sum of its proper divisors (1094840964).

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

419929020 is a wasteful number, since it uses less digits than its factorization.

419929020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 419929020 is about 20492.1697240678. The cubic root of 419929020 is about 748.8450490306.

The spelling of 419929020 in words is "four hundred nineteen million, nine hundred twenty-nine thousand, twenty".