412777728 has 288 divisors, whose sum is σ = 1368662400. Its totient is φ = 121651200.

The previous prime is 412777721. The next prime is 412777733. The reversal of 412777728 is 827777214.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412777721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4637908 + ... + 4637996.

It is an arithmetic number, because the mean of its divisors is an integer number (4752300).

Almost surely, 2^412777728 is an apocalyptic number.

412777728 is a gapful number since it is divisible by the number (48) 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 412777728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684331200).

412777728 is an abundant number, since it is smaller than the sum of its proper divisors (955884672).

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

412777728 is a wasteful number, since it uses less digits than its factorization.

412777728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its digits is 307328, while the sum is 45.

The square root of 412777728 is about 20316.9320518626. The cubic root of 412777728 is about 744.5698028311.

The spelling of 412777728 in words is "four hundred twelve million, seven hundred seventy-seven thousand, seven hundred twenty-eight".