412733440 has 104 divisors (see below), whose sum is σ = 1132323840. Its totient is φ = 141459456.

The previous prime is 412733389. The next prime is 412733449. The reversal of 412733440 is 44337214.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 412733399 and 412733408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412733449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141921 + ... + 144799.

Almost surely, 2^412733440 is an apocalyptic number.

412733440 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 412733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566161920).

412733440 is an abundant number, since it is smaller than the sum of its proper divisors (719590400).

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

412733440 is an equidigital number, since it uses as much as digits as its factorization.

412733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 412733440 is about 20315.8420942869. The cubic root of 412733440 is about 744.5431729328.

The spelling of 412733440 in words is "four hundred twelve million, seven hundred thirty-three thousand, four hundred forty".