1984463040 has 448 divisors, whose sum is σ = 7900416000. Its totient is φ = 411500544.

The previous prime is 1984463021. The next prime is 1984463059. The reversal of 1984463040 is 403644891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1984463021) and next prime (1984463059).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×1984463040³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1984463040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3312661 + ... + 3313259.

Almost surely, 2^1984463040 is an apocalyptic number.

1984463040 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 1984463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950208000).

1984463040 is an abundant number, since it is smaller than the sum of its proper divisors (5915952960).

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

1984463040 is a wasteful number, since it uses less digits than its factorization.

1984463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1984463040 is about 44547.3123768427. The cubic root of 1984463040 is about 1256.6500077141.

The spelling of 1984463040 in words is "one billion, nine hundred eighty-four million, four hundred sixty-three thousand, forty".