410164000 has 144 divisors (see below), whose sum is σ = 1049885928. Its totient is φ = 157440000.

The previous prime is 410163997. The next prime is 410164003. The reversal of 410164000 is 461014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (410163997) and next prime (410164003).

It can be written as a sum of positive squares in 12 ways, for example, as 318693904 + 91470096 = 17852^2 + 9564^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (410164003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6723970 + ... + 6724030.

Almost surely, 2^410164000 is an apocalyptic number.

410164000 is a gapful number since it is divisible by the number (40) 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 410164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524942964).

410164000 is an abundant number, since it is smaller than the sum of its proper divisors (639721928).

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

410164000 is an equidigital number, since it uses as much as digits as its factorization.

410164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 410164000 is about 20252.5060177747. The cubic root of 410164000 is about 742.9949237251.

It can be divided in two parts, 410 and 164000, that multiplied together give a square (67240000 = 8200²).

The spelling of 410164000 in words is "four hundred ten million, one hundred sixty-four thousand".