164430456 has 64 divisors (see below), whose sum is σ = 420556800. Its totient is φ = 53561088.

The previous prime is 164430439. The next prime is 164430457. The reversal of 164430456 is 654034461.

It is a super-3 number, since 3×164430456³ (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 (164430457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222135 + ... + 222873.

It is an arithmetic number, because the mean of its divisors is an integer number (6571200).

Almost surely, 2^164430456 is an apocalyptic number.

It is an amenable number.

164430456 is an abundant number, since it is smaller than the sum of its proper divisors (256126344).

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

164430456 is a wasteful number, since it uses less digits than its factorization.

164430456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 164430456 is about 12823.0439443995. The cubic root of 164430456 is about 547.8488492147.

The spelling of 164430456 in words is "one hundred sixty-four million, four hundred thirty thousand, four hundred fifty-six".