1960190400 has 336 divisors, whose sum is σ = 7410882816. Its totient is φ = 444334080.

The previous prime is 1960190399. The next prime is 1960190431. The reversal of 1960190400 is 40910691.

It is a tau number, because it is divible by the number of its divisors (336).

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

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 47 ways as a sum of consecutive naturals, for example, 7627072 + ... + 7627328.

Almost surely, 2^1960190400 is an apocalyptic number.

1960190400 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 1960190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705441408).

1960190400 is an abundant number, since it is smaller than the sum of its proper divisors (5450692416).

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

1960190400 is a wasteful number, since it uses less digits than its factorization.

1960190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1960190400 is about 44274.0375389460. The cubic root of 1960190400 is about 1251.5054714500.

The spelling of 1960190400 in words is "one billion, nine hundred sixty million, one hundred ninety thousand, four hundred".