1979352900 has 432 divisors, whose sum is σ = 7431191040. Its totient is φ = 431308800.

The previous prime is 1979352899. The next prime is 1979352901. The reversal of 1979352900 is 92539791.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1979352899) and next prime (1979352901).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1979352901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20405652 + ... + 20405748.

Almost surely, 2^1979352900 is an apocalyptic number.

1979352900 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 1979352900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715595520).

1979352900 is an abundant number, since it is smaller than the sum of its proper divisors (5451838140).

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

1979352900 is a wasteful number, since it uses less digits than its factorization.

1979352900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 1979352900 is about 44489.9190828664. The cubic root of 1979352900 is about 1255.5704247535.

The spelling of 1979352900 in words is "one billion, nine hundred seventy-nine million, three hundred fifty-two thousand, nine hundred".