164254300 has 72 divisors (see below), whose sum is σ = 409036320. Its totient is φ = 56083200.

The previous prime is 164254243. The next prime is 164254301. The reversal of 164254300 is 3452461.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164254301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322446 + ... + 322954.

It is an arithmetic number, because the mean of its divisors is an integer number (5681060).

Almost surely, 2^164254300 is an apocalyptic number.

164254300 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 164254300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204518160).

164254300 is an abundant number, since it is smaller than the sum of its proper divisors (244782020).

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

164254300 is a wasteful number, since it uses less digits than its factorization.

164254300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 164254300 is about 12816.1733758560. The cubic root of 164254300 is about 547.6531406506.

The spelling of 164254300 in words is "one hundred sixty-four million, two hundred fifty-four thousand, three hundred".