1973283840 has 528 divisors, whose sum is σ = 7932206880. Its totient is φ = 448266240.

The previous prime is 1973283833. The next prime is 1973283869. The reversal of 1973283840 is 483823791.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×1973283840² = 7787698226410291200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 8616846 + ... + 8617074.

Almost surely, 2^1973283840 is an apocalyptic number.

1973283840 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 1973283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966103440).

1973283840 is an abundant number, since it is smaller than the sum of its proper divisors (5958923040).

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

1973283840 is a wasteful number, since it uses less digits than its factorization.

1973283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 267 counting only the distinct ones).

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

The square root of 1973283840 is about 44421.6595817851. The cubic root of 1973283840 is about 1254.2858409924.

The spelling of 1973283840 in words is "one billion, nine hundred seventy-three million, two hundred eighty-three thousand, eight hundred forty".