1874484480 has 288 divisors, whose sum is σ = 6593126400. Its totient is φ = 450109440.

The previous prime is 1874484473. The next prime is 1874484487. The reversal of 1874484480 is 844844781.

1874484480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1874484473) and next prime (1874484487).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1874484487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8405649 + ... + 8405871.

It is an arithmetic number, because the mean of its divisors is an integer number (22892800).

Almost surely, 2^1874484480 is an apocalyptic number.

1874484480 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 1874484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296563200).

1874484480 is an abundant number, since it is smaller than the sum of its proper divisors (4718641920).

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

1874484480 is a wasteful number, since it uses less digits than its factorization.

1874484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 48.

The square root of 1874484480 is about 43295.3170677846. The cubic root of 1874484480 is about 1232.9930151043.

The spelling of 1874484480 in words is "one billion, eight hundred seventy-four million, four hundred eighty-four thousand, four hundred eighty".