419920164 has 36 divisors (see below), whose sum is σ = 1067836224. Its totient is φ = 139133232.

The previous prime is 419920153. The next prime is 419920183. The reversal of 419920164 is 461029914.

It is a happy number.

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

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

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 11 ways as a sum of consecutive naturals, for example, 28912 + ... + 40935.

Almost surely, 2^419920164 is an apocalyptic number.

It is an amenable number.

419920164 is an abundant number, since it is smaller than the sum of its proper divisors (647916060).

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

419920164 is a wasteful number, since it uses less digits than its factorization.

419920164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70024 (or 70019 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 419920164 is about 20491.9536403926. The cubic root of 419920164 is about 748.8397847931.

The spelling of 419920164 in words is "four hundred nineteen million, nine hundred twenty thousand, one hundred sixty-four".