412411440 has 120 divisors (see below), whose sum is σ = 1487248560. Its totient is φ = 94262784.

The previous prime is 412411429. The next prime is 412411451. The reversal of 412411440 is 44114214.

It is an interprime number because it is at equal distance from previous prime (412411429) and next prime (412411451).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5775 + ... + 29294.

It is an arithmetic number, because the mean of its divisors is an integer number (12393738).

Almost surely, 2^412411440 is an apocalyptic number.

412411440 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 412411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743624280).

412411440 is an abundant number, since it is smaller than the sum of its proper divisors (1074837120).

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

412411440 is a wasteful number, since it uses less digits than its factorization.

412411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35099 (or 35086 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 412411440 is about 20307.9156980720. The cubic root of 412411440 is about 744.3495004945.

Adding to 412411440 its reverse (44114214), we get a palindrome (456525654).

The spelling of 412411440 in words is "four hundred twelve million, four hundred eleven thousand, four hundred forty".