412120440 has 256 divisors, whose sum is σ = 1468108800. Its totient is φ = 102592512.

The previous prime is 412120433. The next prime is 412120493. The reversal of 412120440 is 44021214.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1167304 + ... + 1167656.

It is an arithmetic number, because the mean of its divisors is an integer number (5734800).

Almost surely, 2^412120440 is an apocalyptic number.

412120440 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 412120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734054400).

412120440 is an abundant number, since it is smaller than the sum of its proper divisors (1055988360).

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

412120440 is a wasteful number, since it uses less digits than its factorization.

412120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 412120440 is about 20300.7497398495. The cubic root of 412120440 is about 744.1743868016.

Adding to 412120440 its reverse (44021214), we get a palindrome (456141654).

The spelling of 412120440 in words is "four hundred twelve million, one hundred twenty thousand, four hundred forty".