814545504 has 288 divisors, whose sum is σ = 2633904000. Its totient is φ = 244145664.

The previous prime is 814545503. The next prime is 814545509. The reversal of 814545504 is 405545418.

It is a happy number.

814545504 is a `hidden beast` number, since 8 + 145 + 4 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×814545504² = 1326968756173228032, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814545503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13805827 + ... + 13805885.

It is an arithmetic number, because the mean of its divisors is an integer number (9145500).

Almost surely, 2^814545504 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 814545504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316952000).

814545504 is an abundant number, since it is smaller than the sum of its proper divisors (1819358496).

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

814545504 is a wasteful number, since it uses less digits than its factorization.

814545504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 814545504 is about 28540.2435869072. The cubic root of 814545504 is about 933.9101962209.

The spelling of 814545504 in words is "eight hundred fourteen million, five hundred forty-five thousand, five hundred four".