419521872 has 160 divisors (see below), whose sum is σ = 1359912960. Its totient is φ = 108264960.

The previous prime is 419521849. The next prime is 419521891. The reversal of 419521872 is 278125914.

It is a self number, because there is not a number n which added to its sum of digits gives 419521872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 823954 + ... + 824462.

It is an arithmetic number, because the mean of its divisors is an integer number (8499456).

Almost surely, 2^419521872 is an apocalyptic number.

419521872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419521872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679956480).

419521872 is an abundant number, since it is smaller than the sum of its proper divisors (940391088).

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

419521872 is a wasteful number, since it uses less digits than its factorization.

419521872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 755 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 419521872 is about 20482.2330813806. The cubic root of 419521872 is about 748.6029530734.

It can be divided in two parts, 4 and 19521872, that added together give a triangular number (19521876 = T₆₂₄₈).

The spelling of 419521872 in words is "four hundred nineteen million, five hundred twenty-one thousand, eight hundred seventy-two".