1984035480 has 512 divisors, whose sum is σ = 7603200000. Its totient is φ = 412521984.

The previous prime is 1984035419. The next prime is 1984035503. The reversal of 1984035480 is 845304891.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 33627691 + ... + 33627749.

It is an arithmetic number, because the mean of its divisors is an integer number (14850000).

Almost surely, 2^1984035480 is an apocalyptic number.

1984035480 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 1984035480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801600000).

1984035480 is an abundant number, since it is smaller than the sum of its proper divisors (5619164520).

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

1984035480 is a wasteful number, since it uses less digits than its factorization.

1984035480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1984035480 is about 44542.5131756168. The cubic root of 1984035480 is about 1256.5597512470.

The spelling of 1984035480 in words is "one billion, nine hundred eighty-four million, thirty-five thousand, four hundred eighty".