814147740 has 288 divisors, whose sum is σ = 3050913600. Its totient is φ = 179504640.

The previous prime is 814147717. The next prime is 814147759. The reversal of 814147740 is 47741418.

814147740 is a `hidden beast` number, since 8 + 141 + 477 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 814147695 and 814147704.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 766810 + ... + 767870.

It is an arithmetic number, because the mean of its divisors is an integer number (10593450).

Almost surely, 2^814147740 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 814147740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525456800).

814147740 is an abundant number, since it is smaller than the sum of its proper divisors (2236765860).

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

814147740 is a wasteful number, since it uses less digits than its factorization.

814147740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 814147740 is about 28533.2742600635. The cubic root of 814147740 is about 933.7581538295.

The spelling of 814147740 in words is "eight hundred fourteen million, one hundred forty-seven thousand, seven hundred forty".