814001472 has 84 divisors (see below), whose sum is σ = 2408505216. Its totient is φ = 262575360.

The previous prime is 814001459. The next prime is 814001473. The reversal of 814001472 is 274100418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814001473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4938 + ... + 40649.

Almost surely, 2^814001472 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 814001472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204252608).

814001472 is an abundant number, since it is smaller than the sum of its proper divisors (1594503744).

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

814001472 is a wasteful number, since it uses less digits than its factorization.

814001472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45636 (or 45623 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 814001472 is about 28530.7110321492. The cubic root of 814001472 is about 933.7022314988.

The spelling of 814001472 in words is "eight hundred fourteen million, one thousand, four hundred seventy-two".