419999952 has 80 divisors (see below), whose sum is σ = 1116902720. Its totient is φ = 135945216.

The previous prime is 419999947. The next prime is 420000029. The reversal of 419999952 is 259999914.

It is a junction number, because it is equal to n+sod(n) for n = 419999892 and 419999901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233874 + ... + 235662.

It is an arithmetic number, because the mean of its divisors is an integer number (13961284).

Almost surely, 2^419999952 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 419999952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558451360).

419999952 is an abundant number, since it is smaller than the sum of its proper divisors (696902768).

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

419999952 is a wasteful number, since it uses less digits than its factorization.

419999952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1934 counting only the distinct ones).

The product of its digits is 2361960, while the sum is 57.

The square root of 419999952 is about 20493.9003608391. The cubic root of 419999952 is about 748.8872101928.

The spelling of 419999952 in words is "four hundred nineteen million, nine hundred ninety-nine thousand, nine hundred fifty-two".