814020048 has 120 divisors (see below), whose sum is σ = 2400435648. Its totient is φ = 257005056.

The previous prime is 814020043. The next prime is 814020049. The reversal of 814020048 is 840020418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814020043) 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 23 ways as a sum of consecutive naturals, for example, 353236 + ... + 355532.

Almost surely, 2^814020048 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 814020048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200217824).

814020048 is an abundant number, since it is smaller than the sum of its proper divisors (1586415600).

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

814020048 is a wasteful number, since it uses less digits than its factorization.

814020048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 814020048 is about 28531.0365742291. The cubic root of 814020048 is about 933.7093339924.

The spelling of 814020048 in words is "eight hundred fourteen million, twenty thousand, forty-eight".