164404476 has 72 divisors (see below), whose sum is σ = 425513088. Its totient is φ = 53508000.

The previous prime is 164404469. The next prime is 164404489. The reversal of 164404476 is 674404461.

164404476 is a `hidden beast` number, since 1 + 644 + 0 + 4 + 4 + 7 + 6 = 666.

It is a super-3 number, since 3×164404476³ (a number of 26 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 164404476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334591 + ... + 335081.

It is an arithmetic number, because the mean of its divisors is an integer number (5909904).

Almost surely, 2^164404476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164404476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212756544).

164404476 is an abundant number, since it is smaller than the sum of its proper divisors (261108612).

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

164404476 is a wasteful number, since it uses less digits than its factorization.

164404476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 164404476 is about 12822.0308843802. The cubic root of 164404476 is about 547.8199943356.

The spelling of 164404476 in words is "one hundred sixty-four million, four hundred four thousand, four hundred seventy-six".