164400462 has 32 divisors (see below), whose sum is σ = 365794560. Its totient is φ = 54731160.

The previous prime is 164400461. The next prime is 164400473. The reversal of 164400462 is 264004461.

164400462 is a `hidden beast` number, since 164 + 40 + 0 + 462 = 666.

164400462 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164400462³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164400461) 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, 59287 + ... + 61997.

It is an arithmetic number, because the mean of its divisors is an integer number (11431080).

Almost surely, 2^164400462 is an apocalyptic number.

164400462 is an abundant number, since it is smaller than the sum of its proper divisors (201394098).

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

164400462 is a wasteful number, since it uses less digits than its factorization.

164400462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3845 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 164400462 is about 12821.8743559590. The cubic root of 164400462 is about 547.8155358857.

The spelling of 164400462 in words is "one hundred sixty-four million, four hundred thousand, four hundred sixty-two".