164450000 has 240 divisors, whose sum is σ = 488218752. Its totient is φ = 52800000.

The previous prime is 164449991. The next prime is 164450029. The reversal of 164450000 is 54461.

It is a happy number.

164450000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7149989 + ... + 7150011.

Almost surely, 2^164450000 is an apocalyptic number.

164450000 is a gapful number since it is divisible by the number (10) 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 164450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244109376).

164450000 is an abundant number, since it is smaller than the sum of its proper divisors (323768752).

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

164450000 is a wasteful number, since it uses less digits than its factorization.

164450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 164450000 is about 12823.8059873035. The cubic root of 164450000 is about 547.8705538996.

The spelling of 164450000 in words is "one hundred sixty-four million, four hundred fifty thousand".