412020440 has 64 divisors (see below), whose sum is σ = 1000611360. Its totient is φ = 151787520.

The previous prime is 412020437. The next prime is 412020443. The reversal of 412020440 is 44020214.

It is an interprime number because it is at equal distance from previous prime (412020437) and next prime (412020443).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412020443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421232 + ... + 422208.

Almost surely, 2^412020440 is an apocalyptic number.

412020440 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 412020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500305680).

412020440 is an abundant number, since it is smaller than the sum of its proper divisors (588590920).

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

412020440 is a wasteful number, since it uses less digits than its factorization.

412020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 412020440 is about 20298.2866272008. The cubic root of 412020440 is about 744.1141912444.

Adding to 412020440 its reverse (44020214), we get a palindrome (456040654).

The spelling of 412020440 in words is "four hundred twelve million, twenty thousand, four hundred forty".