164415000 has 160 divisors (see below), whose sum is σ = 523519920. Its totient is φ = 43008000.

The previous prime is 164414981. The next prime is 164415029. The reversal of 164415000 is 514461.

It is a super-3 number, since 3×164415000³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1454944 + ... + 1455056.

Almost surely, 2^164415000 is an apocalyptic number.

164415000 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 164415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261759960).

164415000 is an abundant number, since it is smaller than the sum of its proper divisors (359104920).

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

164415000 is a wasteful number, since it uses less digits than its factorization.

164415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 164415000 is about 12822.4412652193. The cubic root of 164415000 is about 547.8316832603.

Adding to 164415000 its reverse (514461), we get a palindrome (164929461).

The spelling of 164415000 in words is "one hundred sixty-four million, four hundred fifteen thousand".