1930790400 has 480 divisors, whose sum is σ = 7964275968. Its totient is φ = 400588800.

The previous prime is 1930790387. The next prime is 1930790413. The reversal of 1930790400 is 40970391.

It is an interprime number because it is at equal distance from previous prime (1930790387) and next prime (1930790413).

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2956474 + ... + 2957126.

Almost surely, 2^1930790400 is an apocalyptic number.

1930790400 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 1930790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982137984).

1930790400 is an abundant number, since it is smaller than the sum of its proper divisors (6033485568).

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

1930790400 is a wasteful number, since it uses less digits than its factorization.

1930790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 1930790400 is about 43940.7601208718. The cubic root of 1930790400 is about 1245.2170070592.

The spelling of 1930790400 in words is "one billion, nine hundred thirty million, seven hundred ninety thousand, four hundred".