1914060456 has 384 divisors, whose sum is σ = 7065676800. Its totient is φ = 470292480.

The previous prime is 1914060451. The next prime is 1914060457. The reversal of 1914060456 is 6540604191.

1914060456 is a `hidden beast` number, since 1 + 9 + 1 + 40 + 604 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1914060456.

It is not an unprimeable number, because it can be changed into a prime (1914060451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2843736 + ... + 2844408.

It is an arithmetic number, because the mean of its divisors is an integer number (18400200).

Almost surely, 2^1914060456 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 1914060456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532838400).

1914060456 is an abundant number, since it is smaller than the sum of its proper divisors (5151616344).

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

1914060456 is a wasteful number, since it uses less digits than its factorization.

1914060456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1914060456 is about 43749.9766399938. The cubic root of 1914060456 is about 1241.6100435079.

The spelling of 1914060456 in words is "one billion, nine hundred fourteen million, sixty thousand, four hundred fifty-six".