419804064 has 36 divisors (see below), whose sum is σ = 1193818626. Its totient is φ = 139934592.

The previous prime is 419804059. The next prime is 419804081. The reversal of 419804064 is 460408914.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 418611600 + 1192464 = 20460^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 728539 + ... + 729114.

Almost surely, 2^419804064 is an apocalyptic number.

It is an amenable number.

419804064 is an abundant number, since it is smaller than the sum of its proper divisors (774014562).

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

419804064 is a wasteful number, since it uses less digits than its factorization.

419804064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457669 (or 1457658 counting only the distinct ones).

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

The square root of 419804064 is about 20489.1206253465. The cubic root of 419804064 is about 748.7707650760.

The spelling of 419804064 in words is "four hundred nineteen million, eight hundred four thousand, sixty-four".