419603904 has 168 divisors, whose sum is σ = 1321856640. Its totient is φ = 126669312.

The previous prime is 419603897. The next prime is 419603909. The reversal of 419603904 is 409306914.

419603904 is a `hidden beast` number, since 41 + 9 + 603 + 9 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419603909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250879 + ... + 252545.

Almost surely, 2^419603904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419603904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660928320).

419603904 is an abundant number, since it is smaller than the sum of its proper divisors (902252736).

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

419603904 is a wasteful number, since it uses less digits than its factorization.

419603904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 419603904 is about 20484.2354995250. The cubic root of 419603904 is about 748.6517430566.

The spelling of 419603904 in words is "four hundred nineteen million, six hundred three thousand, nine hundred four".