164464260 has 96 divisors (see below), whose sum is σ = 493661952. Its totient is φ = 40803840.

The previous prime is 164464231. The next prime is 164464271. The reversal of 164464260 is 62464461.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49450 + ... + 52670.

It is an arithmetic number, because the mean of its divisors is an integer number (5142312).

Almost surely, 2^164464260 is an apocalyptic number.

164464260 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 164464260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246830976).

164464260 is an abundant number, since it is smaller than the sum of its proper divisors (329197692).

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

164464260 is a wasteful number, since it uses less digits than its factorization.

164464260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 164464260 is about 12824.3619724336. The cubic root of 164464260 is about 547.8863893274.

It can be divided in two parts, 16446 and 4260, that added together give a triangular number (20706 = T₂₀₃).

The spelling of 164464260 in words is "one hundred sixty-four million, four hundred sixty-four thousand, two hundred sixty".