412780320 has 384 divisors, whose sum is σ = 1567641600. Its totient is φ = 101108736.

The previous prime is 412780267. The next prime is 412780321. The reversal of 412780320 is 23087214.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412780321) 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 63 ways as a sum of consecutive naturals, for example, 3857707 + ... + 3857813.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2^412780320 is an apocalyptic number.

412780320 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 412780320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783820800).

412780320 is an abundant number, since it is smaller than the sum of its proper divisors (1154861280).

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

412780320 is a wasteful number, since it uses less digits than its factorization.

412780320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 412780320 is about 20316.9958409210. The cubic root of 412780320 is about 744.5713613139.

The spelling of 412780320 in words is "four hundred twelve million, seven hundred eighty thousand, three hundred twenty".