1874460960 has 384 divisors, whose sum is σ = 7087046400. Its totient is φ = 461168640.

The previous prime is 1874460949. The next prime is 1874460967. The reversal of 1874460960 is 690644781.

1874460960 is a `hidden beast` number, since 187 + 4 + 460 + 9 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1874460967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3365002 + ... + 3365558.

It is an arithmetic number, because the mean of its divisors is an integer number (18455850).

Almost surely, 2^1874460960 is an apocalyptic number.

1874460960 is a gapful number since it is divisible by the number (10) 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 1874460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543523200).

1874460960 is an abundant number, since it is smaller than the sum of its proper divisors (5212585440).

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

1874460960 is a wasteful number, since it uses less digits than its factorization.

1874460960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1874460960 is about 43295.0454440228. The cubic root of 1874460960 is about 1232.9878581100.

The spelling of 1874460960 in words is "one billion, eight hundred seventy-four million, four hundred sixty thousand, nine hundred sixty".