419764464 has 160 divisors (see below), whose sum is σ = 1389117440. Its totient is φ = 118879488.

The previous prime is 419764453. The next prime is 419764469. The reversal of 419764464 is 464467914.

419764464 is a `hidden beast` number, since 41 + 97 + 64 + 464 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419764469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383502 + ... + 384594.

It is an arithmetic number, because the mean of its divisors is an integer number (8681984).

Almost surely, 2^419764464 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 419764464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694558720).

419764464 is an abundant number, since it is smaller than the sum of its proper divisors (969352976).

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

419764464 is a wasteful number, since it uses less digits than its factorization.

419764464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1232 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 419764464 is about 20488.1542360458. The cubic root of 419764464 is about 748.7472205567.

The spelling of 419764464 in words is "four hundred nineteen million, seven hundred sixty-four thousand, four hundred sixty-four".