814381152 has 48 divisors (see below), whose sum is σ = 2302196400. Its totient is φ = 250578432.

The previous prime is 814381151. The next prime is 814381153. The reversal of 814381152 is 251183418.

It is an interprime number because it is at equal distance from previous prime (814381151) and next prime (814381153).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×814381152³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814381151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325027 + ... + 327522.

It is an arithmetic number, because the mean of its divisors is an integer number (47962425).

Almost surely, 2^814381152 is an apocalyptic number.

It is an amenable number.

814381152 is an abundant number, since it is smaller than the sum of its proper divisors (1487815248).

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

814381152 is a wasteful number, since it uses less digits than its factorization.

814381152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652575 (or 652567 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 814381152 is about 28537.3641389670. The cubic root of 814381152 is about 933.8473798682.

The spelling of 814381152 in words is "eight hundred fourteen million, three hundred eighty-one thousand, one hundred fifty-two".