164217400 has 48 divisors (see below), whose sum is σ = 383502240. Its totient is φ = 65395200.

The previous prime is 164217397. The next prime is 164217419. The reversal of 164217400 is 4712461.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46497 + ... + 49903.

It is an arithmetic number, because the mean of its divisors is an integer number (7989630).

Almost surely, 2^164217400 is an apocalyptic number.

164217400 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 164217400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191751120).

164217400 is an abundant number, since it is smaller than the sum of its proper divisors (219284840).

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

164217400 is a wasteful number, since it uses less digits than its factorization.

164217400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 164217400 is about 12814.7337077288. The cubic root of 164217400 is about 547.6121271847.

Adding to 164217400 its reverse (4712461), we get a palindrome (168929861).

The spelling of 164217400 in words is "one hundred sixty-four million, two hundred seventeen thousand, four hundred".