419872 has 12 divisors (see below), whose sum is σ = 826686. Its totient is φ = 209920.

The previous prime is 419831. The next prime is 419873. The reversal of 419872 is 278914.

It can be written as a sum of positive squares in only one way, i.e., 404496 + 15376 = 636^2 + 124^2 .

It is not an unprimeable number, because it can be changed into a prime (419873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6529 + ... + 6592.

2⁴¹⁹⁸⁷² is an apocalyptic number.

It is an amenable number.

419872 is a deficient number, since it is larger than the sum of its proper divisors (406814).

419872 is a wasteful number, since it uses less digits than its factorization.

419872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13131 (or 13123 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 419872 is about 647.9753081715. The cubic root of 419872 is about 74.8811153558.

The spelling of 419872 in words is "four hundred nineteen thousand, eight hundred seventy-two".