164795400 has 576 divisors, whose sum is σ = 731203200. Its totient is φ = 32256000.

The previous prime is 164795387. The next prime is 164795419. The reversal of 164795400 is 4597461.

164795400 is a `hidden beast` number, since 1 + 647 + 9 + 5 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×164795400² = 54315047722320000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4019380 + ... + 4019420.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^164795400 is an apocalyptic number.

164795400 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 164795400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365601600).

164795400 is an abundant number, since it is smaller than the sum of its proper divisors (566407800).

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

164795400 is a wasteful number, since it uses less digits than its factorization.

164795400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 164795400 is about 12837.2660640808. The cubic root of 164795400 is about 548.2538561363.

The spelling of 164795400 in words is "one hundred sixty-four million, seven hundred ninety-five thousand, four hundred".