1988405100 has 486 divisors, whose sum is σ = 7451332980. Its totient is φ = 441936000.

The previous prime is 1988405053. The next prime is 1988405101. The reversal of 1988405100 is 15048891.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (1988405101) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 64142085 + ... + 64142115.

Almost surely, 2^1988405100 is an apocalyptic number.

1988405100 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 1988405100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725666490).

1988405100 is an abundant number, since it is smaller than the sum of its proper divisors (5462927880).

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

1988405100 is a wasteful number, since it uses less digits than its factorization.

1988405100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1988405100 is about 44591.5361924211. The cubic root of 1988405100 is about 1257.4815530865.

The spelling of 1988405100 in words is "one billion, nine hundred eighty-eight million, four hundred five thousand, one hundred".