412893216 has 144 divisors (see below), whose sum is σ = 1226534400. Its totient is φ = 131604480.

The previous prime is 412893209. The next prime is 412893223. The reversal of 412893216 is 612398214.

412893216 is a nontrivial binomial coefficient, being equal to C(28737, 2).

It is an interprime number because it is at equal distance from previous prime (412893209) and next prime (412893223).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919360 + ... + 919808.

It is an arithmetic number, because the mean of its divisors is an integer number (8517600).

Almost surely, 2^412893216 is an apocalyptic number.

412893216 is the 28736-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412893216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613267200).

412893216 is an abundant number, since it is smaller than the sum of its proper divisors (813641184).

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

412893216 is a wasteful number, since it uses less digits than its factorization.

412893216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 588 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 412893216 is about 20319.7740144914. The cubic root of 412893216 is about 744.6392355657.

It can be divided in two parts, 4128 and 93216, that added together give a square (97344 = 312²).

The spelling of 412893216 in words is "four hundred twelve million, eight hundred ninety-three thousand, two hundred sixteen".