814227552 has 120 divisors (see below), whose sum is σ = 2440213776. Its totient is φ = 266243328.

The previous prime is 814227541. The next prime is 814227599. The reversal of 814227552 is 255722418.

It is a happy number.

814227552 is a `hidden beast` number, since 81 + 4 + 2 + 27 + 552 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134413 + ... + 140339.

Almost surely, 2^814227552 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 814227552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220106888).

814227552 is an abundant number, since it is smaller than the sum of its proper divisors (1625986224).

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

814227552 is a wasteful number, since it uses less digits than its factorization.

814227552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 5985 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 814227552 is about 28534.6728034509. The cubic root of 814227552 is about 933.7886653559.

The spelling of 814227552 in words is "eight hundred fourteen million, two hundred twenty-seven thousand, five hundred fifty-two".