410150016 has 96 divisors (see below), whose sum is σ = 1221047100. Its totient is φ = 131991552.

The previous prime is 410150011. The next prime is 410150021. The reversal of 410150016 is 610051014.

It is an interprime number because it is at equal distance from previous prime (410150011) and next prime (410150021).

It can be written as a sum of positive squares in 2 ways, for example, as 388247616 + 21902400 = 19704^2 + 4680^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (410150011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27270 + ... + 39546.

Almost surely, 2^410150016 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 410150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610523550).

410150016 is an abundant number, since it is smaller than the sum of its proper divisors (810897084).

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

410150016 is a wasteful number, since it uses less digits than its factorization.

410150016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12326 (or 12311 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 410150016 is about 20252.1607736064. The cubic root of 410150016 is about 742.9864798189.

It can be divided in two parts, 410 and 150016, that added together give a triangular number (150426 = T₅₄₈).

The spelling of 410150016 in words is "four hundred ten million, one hundred fifty thousand, sixteen".