814298940 has 384 divisors, whose sum is σ = 3174635520. Its totient is φ = 168708096.

The previous prime is 814298921. The next prime is 814298951. The reversal of 814298940 is 49892418.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3587107 + ... + 3587333.

It is an arithmetic number, because the mean of its divisors is an integer number (8267280).

Almost surely, 2^814298940 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 814298940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587317760).

814298940 is an abundant number, since it is smaller than the sum of its proper divisors (2360336580).

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

814298940 is a wasteful number, since it uses less digits than its factorization.

814298940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 814298940 is about 28535.9236752554. The cubic root of 814298940 is about 933.8159547612.

The spelling of 814298940 in words is "eight hundred fourteen million, two hundred ninety-eight thousand, nine hundred forty".