419772 has 12 divisors (see below), whose sum is σ = 979496. Its totient is φ = 139920.

The previous prime is 419753. The next prime is 419777. The reversal of 419772 is 277914.

419772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419777) by changing a digit.

419772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17479 + ... + 17502.

2⁴¹⁹⁷⁷² is an apocalyptic number.

It is an amenable number.

419772 is an abundant number, since it is smaller than the sum of its proper divisors (559724).

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

419772 is a wasteful number, since it uses less digits than its factorization.

419772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34988 (or 34986 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 419772 is about 647.8981401424. The cubic root of 419772 is about 74.8751701264.

The spelling of 419772 in words is "four hundred nineteen thousand, seven hundred seventy-two".