814253440 has 512 divisors, whose sum is σ = 2763694080. Its totient is φ = 221184000.

The previous prime is 814253393. The next prime is 814253459. The reversal of 814253440 is 44352418.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19859820 + ... + 19859860.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2^814253440 is an apocalyptic number.

814253440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381847040).

814253440 is an abundant number, since it is smaller than the sum of its proper divisors (1949440640).

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

814253440 is a wasteful number, since it uses less digits than its factorization.

814253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 814253440 is about 28535.1264234101. The cubic root of 814253440 is about 933.7985617150.

The spelling of 814253440 in words is "eight hundred fourteen million, two hundred fifty-three thousand, four hundred forty".