419480640 has 224 divisors, whose sum is σ = 1512783360. Its totient is φ = 109375488.

The previous prime is 419480639. The next prime is 419480641. The reversal of 419480640 is 46084914.

It is a happy number.

419480640 is a `hidden beast` number, since 4 + 1 + 9 + 4 + 8 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (419480639) and next prime (419480641).

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 = 419480595 and 419480604.

It is not an unprimeable number, because it can be changed into a prime (419480641) 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 31 ways as a sum of consecutive naturals, for example, 405564 + ... + 406596.

Almost surely, 2^419480640 is an apocalyptic number.

419480640 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 419480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756391680).

419480640 is an abundant number, since it is smaller than the sum of its proper divisors (1093302720).

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

419480640 is a wasteful number, since it uses less digits than its factorization.

419480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 419480640 is about 20481.2265257723. The cubic root of 419480640 is about 748.5784272101.

The spelling of 419480640 in words is "four hundred nineteen million, four hundred eighty thousand, six hundred forty".