410068512 has 144 divisors (see below), whose sum is σ = 1345885632. Its totient is φ = 116006400.

The previous prime is 410068493. The next prime is 410068517. The reversal of 410068512 is 215860014.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410068517) 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, 214762 + ... + 216662.

It is an arithmetic number, because the mean of its divisors is an integer number (9346428).

Almost surely, 2^410068512 is an apocalyptic number.

410068512 is a gapful number since it is divisible by the number (42) 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 410068512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672942816).

410068512 is an abundant number, since it is smaller than the sum of its proper divisors (935817120).

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

410068512 is a wasteful number, since it uses less digits than its factorization.

410068512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 410068512 is about 20250.1484439004. The cubic root of 410068512 is about 742.9372617447.

The spelling of 410068512 in words is "four hundred ten million, sixty-eight thousand, five hundred twelve".