419048640 has 336 divisors, whose sum is σ = 1587654432. Its totient is φ = 104841216.

The previous prime is 419048611. The next prime is 419048653. The reversal of 419048640 is 46840914.

It is a happy number.

419048640 is a `hidden beast` number, since 4 + 1 + 9 + 0 + 4 + 8 + 640 = 666.

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 = 419048595 and 419048604.

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 47 ways as a sum of consecutive naturals, for example, 1321762 + ... + 1322078.

It is an arithmetic number, because the mean of its divisors is an integer number (4725162).

Almost surely, 2^419048640 is an apocalyptic number.

419048640 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 419048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793827216).

419048640 is an abundant number, since it is smaller than the sum of its proper divisors (1168605792).

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

419048640 is a wasteful number, since it uses less digits than its factorization.

419048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 344 counting only the distinct ones).

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

The square root of 419048640 is about 20470.6775657280. The cubic root of 419048640 is about 748.3213657189.

The spelling of 419048640 in words is "four hundred nineteen million, forty-eight thousand, six hundred forty".