1604164464 has 120 divisors (see below), whose sum is σ = 5307800160. Its totient is φ = 442520064.

The previous prime is 1604164439. The next prime is 1604164481. The reversal of 1604164464 is 4644614061.

1604164464 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 1 + 644 + 6 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1794 + ... + 56670.

It is an arithmetic number, because the mean of its divisors is an integer number (44231668).

Almost surely, 2^1604164464 is an apocalyptic number.

1604164464 is a gapful number since it is divisible by the number (14) 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 1604164464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653900080).

1604164464 is an abundant number, since it is smaller than the sum of its proper divisors (3703635696).

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

1604164464 is a wasteful number, since it uses less digits than its factorization.

1604164464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54927 (or 54918 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1604164464 is about 40052.0219714311. The cubic root of 1604164464 is about 1170.6209633819.

The spelling of 1604164464 in words is "one billion, six hundred four million, one hundred sixty-four thousand, four hundred sixty-four".