419509440 has 168 divisors, whose sum is σ = 1649150880. Its totient is φ = 95883264.

The previous prime is 419509439. The next prime is 419509457. The reversal of 419509440 is 44905914.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×419509440² = 351976340498227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 419509395 and 419509404.

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, 9756 + ... + 30564.

Almost surely, 2^419509440 is an apocalyptic number.

419509440 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 419509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824575440).

419509440 is an abundant number, since it is smaller than the sum of its proper divisors (1229641440).

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

419509440 is a wasteful number, since it uses less digits than its factorization.

419509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20839 (or 20826 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 419509440 is about 20481.9295965981. The cubic root of 419509440 is about 748.5955583665.

The spelling of 419509440 in words is "four hundred nineteen million, five hundred nine thousand, four hundred forty".