814509920 has 48 divisors (see below), whose sum is σ = 2199179808. Its totient is φ = 279260160.

The previous prime is 814509919. The next prime is 814509929. The reversal of 814509920 is 29905418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814509929) 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 7 ways as a sum of consecutive naturals, for example, 362501 + ... + 364740.

It is an arithmetic number, because the mean of its divisors is an integer number (45816246).

Almost surely, 2^814509920 is an apocalyptic number.

814509920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

814509920 is an abundant number, since it is smaller than the sum of its proper divisors (1384669888).

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

814509920 is a wasteful number, since it uses less digits than its factorization.

814509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727263 (or 727255 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 814509920 is about 28539.6201796730. The cubic root of 814509920 is about 933.8965965123.

The spelling of 814509920 in words is "eight hundred fourteen million, five hundred nine thousand, nine hundred twenty".