412432240 has 160 divisors (see below), whose sum is σ = 1166711040. Its totient is φ = 133632000.

The previous prime is 412432231. The next prime is 412432247. The reversal of 412432240 is 42234214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412432247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283515 + ... + 284965.

It is an arithmetic number, because the mean of its divisors is an integer number (7291944).

Almost surely, 2^412432240 is an apocalyptic number.

412432240 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 412432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583355520).

412432240 is an abundant number, since it is smaller than the sum of its proper divisors (754278800).

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

412432240 is a wasteful number, since it uses less digits than its factorization.

412432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 412432240 is about 20308.4278071937. The cubic root of 412432240 is about 744.3620140573.

Adding to 412432240 its reverse (42234214), we get a palindrome (454666454).

The spelling of 412432240 in words is "four hundred twelve million, four hundred thirty-two thousand, two hundred forty".