412369440 has 384 divisors, whose sum is σ = 1588543488. Its totient is φ = 87920640.

The previous prime is 412369439. The next prime is 412369453. The reversal of 412369440 is 44963214.

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, 3853867 + ... + 3853973.

It is an arithmetic number, because the mean of its divisors is an integer number (4136832).

Almost surely, 2^412369440 is an apocalyptic number.

412369440 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 412369440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794271744).

412369440 is an abundant number, since it is smaller than the sum of its proper divisors (1176174048).

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

412369440 is a wasteful number, since it uses less digits than its factorization.

412369440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 412369440 is about 20306.8815922091. The cubic root of 412369440 is about 744.3242314409.

The spelling of 412369440 in words is "four hundred twelve million, three hundred sixty-nine thousand, four hundred forty".