1980950400 has 864 divisors, whose sum is σ = 8575533720. Its totient is φ = 431308800.

The previous prime is 1980950399. The next prime is 1980950401. The reversal of 1980950400 is 40590891.

1980950400 = 351³ + 352³ + ... + 389³.

It is an interprime number because it is at equal distance from previous prime (1980950399) and next prime (1980950401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980950401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 53539182 + ... + 53539218.

Almost surely, 2^1980950400 is an apocalyptic number.

1980950400 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 1980950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287766860).

1980950400 is an abundant number, since it is smaller than the sum of its proper divisors (6594583320).

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

1980950400 is a wasteful number, since it uses less digits than its factorization.

1980950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1980950400 is about 44507.8689671838. The cubic root of 1980950400 is about 1255.9081166641.

The spelling of 1980950400 in words is "one billion, nine hundred eighty million, nine hundred fifty thousand, four hundred".