164401460 has 24 divisors (see below), whose sum is σ = 345972480. Its totient is φ = 65621664.

The previous prime is 164401459. The next prime is 164401469. The reversal of 164401460 is 64104461.

It is a super-3 number, since 3×164401460³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164401469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1301 + ... + 18179.

It is an arithmetic number, because the mean of its divisors is an integer number (14415520).

Almost surely, 2^164401460 is an apocalyptic number.

164401460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164401460 is an abundant number, since it is smaller than the sum of its proper divisors (181571020).

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

164401460 is a wasteful number, since it uses less digits than its factorization.

164401460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17375 (or 17373 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 164401460 is about 12821.9132737669. The cubic root of 164401460 is about 547.8166443960.

The spelling of 164401460 in words is "one hundred sixty-four million, four hundred one thousand, four hundred sixty".