419972352 has 144 divisors (see below), whose sum is σ = 1246512960. Its totient is φ = 124747776.

The previous prime is 419972327. The next prime is 419972359. The reversal of 419972352 is 253279914.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419972359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247218 + ... + 248910.

It is an arithmetic number, because the mean of its divisors is an integer number (8656340).

Almost surely, 2^419972352 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 419972352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623256480).

419972352 is an abundant number, since it is smaller than the sum of its proper divisors (826540608).

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

419972352 is a wasteful number, since it uses less digits than its factorization.

419972352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1734 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 419972352 is about 20493.2269786874. The cubic root of 419972352 is about 748.8708056356.

The spelling of 419972352 in words is "four hundred nineteen million, nine hundred seventy-two thousand, three hundred fifty-two".