1984371480 has 512 divisors, whose sum is σ = 8299468800. Its totient is φ = 410572800.

The previous prime is 1984371479. The next prime is 1984371491. The reversal of 1984371480 is 841734891.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 5994915 + ... + 5995245.

It is an arithmetic number, because the mean of its divisors is an integer number (16209900).

Almost surely, 2^1984371480 is an apocalyptic number.

1984371480 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 1984371480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149734400).

1984371480 is an abundant number, since it is smaller than the sum of its proper divisors (6315097320).

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

1984371480 is a wasteful number, since it uses less digits than its factorization.

1984371480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1984371480 is about 44546.2846935634. The cubic root of 1984371480 is about 1256.6306807993.

The spelling of 1984371480 in words is "one billion, nine hundred eighty-four million, three hundred seventy-one thousand, four hundred eighty".