412439040 has 560 divisors, whose sum is σ = 1690626168. Its totient is φ = 95551488.

The previous prime is 412439033. The next prime is 412439077. The reversal of 412439040 is 40934214.

It can be written as a sum of positive squares in 4 ways, for example, as 313714944 + 98724096 = 17712^2 + 9936^2 .

It is a super-2 number, since 2×412439040² = 340211923432243200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 412438995 and 412439013.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24261112 + ... + 24261128.

Almost surely, 2^412439040 is an apocalyptic number.

412439040 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 412439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845313084).

412439040 is an abundant number, since it is smaller than the sum of its proper divisors (1278187128).

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

412439040 is an equidigital number, since it uses as much as digits as its factorization.

412439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 412439040 is about 20308.5952246826. The cubic root of 412439040 is about 744.3661049385.

The spelling of 412439040 in words is "four hundred twelve million, four hundred thirty-nine thousand, forty".