412672320 has 392 divisors, whose sum is σ = 1549130760. Its totient is φ = 104509440.

The previous prime is 412672319. The next prime is 412672321. The reversal of 412672320 is 23276214.

It is an interprime number because it is at equal distance from previous prime (412672319) and next prime (412672321).

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 412252416 = 648^2 + 20304^2 .

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 (412672321) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6765090 + ... + 6765150.

Almost surely, 2^412672320 is an apocalyptic number.

412672320 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 412672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774565380).

412672320 is an abundant number, since it is smaller than the sum of its proper divisors (1136458440).

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

412672320 is an equidigital number, since it uses as much as digits as its factorization.

412672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 412672320 is about 20314.3377937850. The cubic root of 412672320 is about 744.5064190049.

The spelling of 412672320 in words is "four hundred twelve million, six hundred seventy-two thousand, three hundred twenty".