419796720 has 360 divisors, whose sum is σ = 1672656336. Its totient is φ = 94058496.

The previous prime is 419796701. The next prime is 419796731. The reversal of 419796720 is 27697914.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×419796720² = 352458572245516800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2575359 + ... + 2575521.

Almost surely, 2^419796720 is an apocalyptic number.

419796720 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 419796720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836328168).

419796720 is an abundant number, since it is smaller than the sum of its proper divisors (1252859616).

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

419796720 is a wasteful number, since it uses less digits than its factorization.

419796720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 419796720 is about 20488.9414075008. The cubic root of 419796720 is about 748.7663987497.

The spelling of 419796720 in words is "four hundred nineteen million, seven hundred ninety-six thousand, seven hundred twenty".