412553440 has 96 divisors (see below), whose sum is σ = 1055267136. Its totient is φ = 151511040.

The previous prime is 412553423. The next prime is 412553447. The reversal of 412553440 is 44355214.

It is a junction number, because it is equal to n+sod(n) for n = 412553399 and 412553408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412553447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500869 + ... + 501691.

It is an arithmetic number, because the mean of its divisors is an integer number (10992366).

Almost surely, 2^412553440 is an apocalyptic number.

412553440 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 412553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527633568).

412553440 is an abundant number, since it is smaller than the sum of its proper divisors (642713696).

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

412553440 is a wasteful number, since it uses less digits than its factorization.

412553440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 412553440 is about 20311.4115708387. The cubic root of 412553440 is about 744.4349212580.

The spelling of 412553440 in words is "four hundred twelve million, five hundred fifty-three thousand, four hundred forty".