1970049600 has 336 divisors, whose sum is σ = 7283135040. Its totient is φ = 524413440.

The previous prime is 1970049563. The next prime is 1970049617. The reversal of 1970049600 is 69400791.

1970049600 is a `hidden beast` number, since 1 + 9 + 7 + 0 + 0 + 49 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3498919 + ... + 3499481.

Almost surely, 2^1970049600 is an apocalyptic number.

1970049600 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 1970049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641567520).

1970049600 is an abundant number, since it is smaller than the sum of its proper divisors (5313085440).

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

1970049600 is an frugal number, since it uses more digits than its factorization.

1970049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1970049600 is about 44385.2407901546. The cubic root of 1970049600 is about 1253.6002022136.

The spelling of 1970049600 in words is "one billion, nine hundred seventy million, forty-nine thousand, six hundred".