164402440 has 32 divisors (see below), whose sum is σ = 389376000. Its totient is φ = 62299584.

The previous prime is 164402431. The next prime is 164402443. The reversal of 164402440 is 44204461.

It is a super-3 number, since 3×164402440³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164402443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107400 + ... + 108919.

It is an arithmetic number, because the mean of its divisors is an integer number (12168000).

Almost surely, 2^164402440 is an apocalyptic number.

164402440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164402440 is an abundant number, since it is smaller than the sum of its proper divisors (224973560).

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

164402440 is a wasteful number, since it uses less digits than its factorization.

164402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216349 (or 216345 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 164402440 is about 12821.9514895354. The cubic root of 164402440 is about 547.8177329087.

The spelling of 164402440 in words is "one hundred sixty-four million, four hundred two thousand, four hundred forty".