1920430512 has 320 divisors, whose sum is σ = 7402859520. Its totient is φ = 460339200.

The previous prime is 1920430469. The next prime is 1920430531. The reversal of 1920430512 is 2150340291.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 430212 + ... + 434652.

It is an arithmetic number, because the mean of its divisors is an integer number (23133936).

Almost surely, 2^1920430512 is an apocalyptic number.

1920430512 is a gapful number since it is divisible by the number (12) 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 1920430512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701429760).

1920430512 is an abundant number, since it is smaller than the sum of its proper divisors (5482429008).

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

1920430512 is a wasteful number, since it uses less digits than its factorization.

1920430512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1920430512 is about 43822.7168486848. The cubic root of 1920430512 is about 1242.9858913337.

The spelling of 1920430512 in words is "one billion, nine hundred twenty million, four hundred thirty thousand, five hundred twelve".