419952 has 40 divisors (see below), whose sum is σ = 1170064. Its totient is φ = 129024.

The previous prime is 419933. The next prime is 419953. The reversal of 419952 is 259914.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288 + ... + 960.

2⁴¹⁹⁹⁵² 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 419952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585032).

419952 is an abundant number, since it is smaller than the sum of its proper divisors (750112).

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

419952 is a wasteful number, since it uses less digits than its factorization.

419952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 691 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 419952 is about 648.0370359787. The cubic root of 419952 is about 74.8858708597.

The spelling of 419952 in words is "four hundred nineteen thousand, nine hundred fifty-two".