1920978432 has 240 divisors, whose sum is σ = 6003700560. Its totient is φ = 589234176.

The previous prime is 1920978421. The next prime is 1920978491. The reversal of 1920978432 is 2348790291.

1920978432 is a `hidden beast` number, since 1 + 9 + 209 + 7 + 8 + 432 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3239128 + ... + 3239720.

It is an arithmetic number, because the mean of its divisors is an integer number (25015419).

Almost surely, 2^1920978432 is an apocalyptic number.

1920978432 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 1920978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001850280).

1920978432 is an abundant number, since it is smaller than the sum of its proper divisors (4082722128).

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

1920978432 is a wasteful number, since it uses less digits than its factorization.

1920978432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1920978432 is about 43828.9679549952. The cubic root of 1920978432 is about 1243.1040926197.

The spelling of 1920978432 in words is "one billion, nine hundred twenty million, nine hundred seventy-eight thousand, four hundred thirty-two".