164478384 has 160 divisors (see below), whose sum is σ = 545600000. Its totient is φ = 46469376.

The previous prime is 164478329. The next prime is 164478389. The reversal of 164478384 is 483874461.

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 (164478389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329367 + ... + 329865.

It is an arithmetic number, because the mean of its divisors is an integer number (3410000).

Almost surely, 2^164478384 is an apocalyptic number.

164478384 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 164478384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272800000).

164478384 is an abundant number, since it is smaller than the sum of its proper divisors (381121616).

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

164478384 is a wasteful number, since it uses less digits than its factorization.

164478384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 164478384 is about 12824.9126312814. The cubic root of 164478384 is about 547.9020728278.

The spelling of 164478384 in words is "one hundred sixty-four million, four hundred seventy-eight thousand, three hundred eighty-four".