410164152 has 64 divisors (see below), whose sum is σ = 1074816000. Its totient is φ = 130187904.

The previous prime is 410164133. The next prime is 410164187. The reversal of 410164152 is 251461014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130374 + ... + 133482.

It is an arithmetic number, because the mean of its divisors is an integer number (16794000).

Almost surely, 2^410164152 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 410164152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537408000).

410164152 is an abundant number, since it is smaller than the sum of its proper divisors (664651848).

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

410164152 is a wasteful number, since it uses less digits than its factorization.

410164152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 410164152 is about 20252.5097703964. The cubic root of 410164152 is about 742.9950155056.

The spelling of 410164152 in words is "four hundred ten million, one hundred sixty-four thousand, one hundred fifty-two".