1960473600 has 396 divisors, whose sum is σ = 7180286464. Its totient is φ = 510935040.

The previous prime is 1960473583. The next prime is 1960473617. The reversal of 1960473600 is 63740691.

1960473600 is a `hidden beast` number, since 1 + 9 + 6 + 0 + 47 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1960473583) and next prime (1960473617).

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 15436737 + ... + 15436863.

Almost surely, 2^1960473600 is an apocalyptic number.

1960473600 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 1960473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590143232).

1960473600 is an abundant number, since it is smaller than the sum of its proper divisors (5219812864).

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

1960473600 is a wasteful number, since it uses less digits than its factorization.

1960473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1960473600 is about 44277.2356860724. The cubic root of 1960473600 is about 1251.5657392829.

The spelling of 1960473600 in words is "one billion, nine hundred sixty million, four hundred seventy-three thousand, six hundred".