412077456 has 280 divisors, whose sum is σ = 1409532800. Its totient is φ = 116593344.

The previous prime is 412077431. The next prime is 412077461. The reversal of 412077456 is 654770214.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 412077456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4000701 + ... + 4000803.

Almost surely, 2^412077456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412077456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704766400).

412077456 is an abundant number, since it is smaller than the sum of its proper divisors (997455344).

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

412077456 is an equidigital number, since it uses as much as digits as its factorization.

412077456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 412077456 is about 20299.6910321315. The cubic root of 412077456 is about 744.1485135367.

The spelling of 412077456 in words is "four hundred twelve million, seventy-seven thousand, four hundred fifty-six".