814200552 has 256 divisors, whose sum is σ = 2637619200. Its totient is φ = 230250240.

The previous prime is 814200547. The next prime is 814200553. The reversal of 814200552 is 255002418.

It is a happy number.

814200552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (814200553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2568298 + ... + 2568614.

It is an arithmetic number, because the mean of its divisors is an integer number (10303200).

Almost surely, 2^814200552 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 814200552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318809600).

814200552 is an abundant number, since it is smaller than the sum of its proper divisors (1823418648).

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

814200552 is a wasteful number, since it uses less digits than its factorization.

814200552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 814200552 is about 28534.1996908972. The cubic root of 814200552 is about 933.7783436825.

The spelling of 814200552 in words is "eight hundred fourteen million, two hundred thousand, five hundred fifty-two".