419888052 has 36 divisors (see below), whose sum is σ = 1087274916. Its totient is φ = 136548480.

The previous prime is 419888039. The next prime is 419888057. The reversal of 419888052 is 250888914.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 63584676 + 356303376 = 7974^2 + 18876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 419887989 and 419888007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419888057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140763 + ... + 143714.

It is an arithmetic number, because the mean of its divisors is an integer number (30202081).

Almost surely, 2^419888052 is an apocalyptic number.

It is an amenable number.

419888052 is an abundant number, since it is smaller than the sum of its proper divisors (667386864).

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

419888052 is a wasteful number, since it uses less digits than its factorization.

419888052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284528 (or 284523 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 419888052 is about 20491.1700983619. The cubic root of 419888052 is about 748.8206959612.

The spelling of 419888052 in words is "four hundred nineteen million, eight hundred eighty-eight thousand, fifty-two".