814452320 has 192 divisors, whose sum is σ = 2249565696. Its totient is φ = 275374080.

The previous prime is 814452319. The next prime is 814452329. The reversal of 814452320 is 23254418.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814452329) 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, 4876877 + ... + 4877043.

It is an arithmetic number, because the mean of its divisors is an integer number (11716488).

Almost surely, 2^814452320 is an apocalyptic number.

814452320 is a gapful number since it is divisible by the number (80) 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 814452320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124782848).

814452320 is an abundant number, since it is smaller than the sum of its proper divisors (1435113376).

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

814452320 is a wasteful number, since it uses less digits than its factorization.

814452320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 814452320 is about 28538.6110383810. The cubic root of 814452320 is about 933.8745817561.

The spelling of 814452320 in words is "eight hundred fourteen million, four hundred fifty-two thousand, three hundred twenty".