164753460 has 192 divisors, whose sum is σ = 550851840. Its totient is φ = 40734720.

The previous prime is 164753453. The next prime is 164753461. The reversal of 164753460 is 64357461.

It is a happy number.

164753460 is a `hidden beast` number, since 1 + 64 + 7 + 534 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164753461) 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 63 ways as a sum of consecutive naturals, for example, 1202512 + ... + 1202648.

It is an arithmetic number, because the mean of its divisors is an integer number (2869020).

Almost surely, 2^164753460 is an apocalyptic number.

164753460 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 164753460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275425920).

164753460 is an abundant number, since it is smaller than the sum of its proper divisors (386098380).

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

164753460 is a wasteful number, since it uses less digits than its factorization.

164753460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 164753460 is about 12835.6324347498. The cubic root of 164753460 is about 548.2073424641.

The spelling of 164753460 in words is "one hundred sixty-four million, seven hundred fifty-three thousand, four hundred sixty".