164971400 has 144 divisors (see below), whose sum is σ = 447510420. Its totient is φ = 56320000.

The previous prime is 164971397. The next prime is 164971403. The reversal of 164971400 is 4179461.

It is an interprime number because it is at equal distance from previous prime (164971397) and next prime (164971403).

It can be written as a sum of positive squares in 6 ways, for example, as 135443044 + 29528356 = 11638^2 + 5434^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164971403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 411200 + ... + 411600.

Almost surely, 2^164971400 is an apocalyptic number.

164971400 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 164971400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223755210).

164971400 is an abundant number, since it is smaller than the sum of its proper divisors (282539020).

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

164971400 is a wasteful number, since it uses less digits than its factorization.

164971400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 164971400 is about 12844.1192769298. The cubic root of 164971400 is about 548.4489634187.

The spelling of 164971400 in words is "one hundred sixty-four million, nine hundred seventy-one thousand, four hundred".