412741440 has 448 divisors, whose sum is σ = 1591787520. Its totient is φ = 100362240.

The previous prime is 412741423. The next prime is 412741523. The reversal of 412741440 is 44147214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6160287 + ... + 6160353.

Almost surely, 2^412741440 is an apocalyptic number.

412741440 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 412741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795893760).

412741440 is an abundant number, since it is smaller than the sum of its proper divisors (1179046080).

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

412741440 is a wasteful number, since it uses less digits than its factorization.

412741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 412741440 is about 20316.0389840146. The cubic root of 412741440 is about 744.5479833877.

Adding to 412741440 its reverse (44147214), we get a palindrome (456888654).

The spelling of 412741440 in words is "four hundred twelve million, seven hundred forty-one thousand, four hundred forty".