419983680 has 168 divisors, whose sum is σ = 1395630432. Its totient is φ = 106996736.

The previous prime is 419983651. The next prime is 419983721. The reversal of 419983680 is 86389914.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507427 + ... + 508253.

It is an arithmetic number, because the mean of its divisors is an integer number (8307324).

Almost surely, 2^419983680 is an apocalyptic number.

419983680 is a gapful number since it is divisible by the number (40) 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 419983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697815216).

419983680 is an abundant number, since it is smaller than the sum of its proper divisors (975646752).

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

419983680 is a wasteful number, since it uses less digits than its factorization.

419983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 419983680 is about 20493.5033608214. The cubic root of 419983680 is about 748.8775387234.

The spelling of 419983680 in words is "four hundred nineteen million, nine hundred eighty-three thousand, six hundred eighty".