814470240 has 96 divisors (see below), whose sum is σ = 2570006880. Its totient is φ = 216817664.

The previous prime is 814470149. The next prime is 814470253. The reversal of 814470240 is 42074418.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 814470198 and 814470207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381496 + ... + 383624.

It is an arithmetic number, because the mean of its divisors is an integer number (26770905).

Almost surely, 2^814470240 is an apocalyptic number.

814470240 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 814470240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285003440).

814470240 is an abundant number, since it is smaller than the sum of its proper divisors (1755536640).

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

814470240 is a wasteful number, since it uses less digits than its factorization.

814470240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 814470240 is about 28538.9249972735. The cubic root of 814470240 is about 933.8814309026.

The spelling of 814470240 in words is "eight hundred fourteen million, four hundred seventy thousand, two hundred forty".