419281920 has 264 divisors, whose sum is σ = 1511079024. Its totient is φ = 111476736.

The previous prime is 419281871. The next prime is 419281957. The reversal of 419281920 is 29182914.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

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, 1243992 + ... + 1244328.

Almost surely, 2^419281920 is an apocalyptic number.

419281920 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 419281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755539512).

419281920 is an abundant number, since it is smaller than the sum of its proper divisors (1091797104).

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

419281920 is an equidigital number, since it uses as much as digits as its factorization.

419281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 419281920 is about 20476.3746791272. The cubic root of 419281920 is about 748.4602008549.

The spelling of 419281920 in words is "four hundred nineteen million, two hundred eighty-one thousand, nine hundred twenty".