1980521400 has 384 divisors, whose sum is σ = 7402026240. Its totient is φ = 431616000.

The previous prime is 1980521393. The next prime is 1980521401. The reversal of 1980521400 is 41250891.

It is a happy number.

1980521400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980521401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3517519 + ... + 3518081.

It is an arithmetic number, because the mean of its divisors is an integer number (19276110).

Almost surely, 2^1980521400 is an apocalyptic number.

1980521400 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 1980521400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701013120).

1980521400 is an abundant number, since it is smaller than the sum of its proper divisors (5421504840).

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

1980521400 is a wasteful number, since it uses less digits than its factorization.

1980521400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1980521400 is about 44503.0493337254. The cubic root of 1980521400 is about 1255.8174491608.

The spelling of 1980521400 in words is "one billion, nine hundred eighty million, five hundred twenty-one thousand, four hundred".