1974978432 has 192 divisors, whose sum is σ = 6619073760. Its totient is φ = 553512960.

The previous prime is 1974978431. The next prime is 1974978463. The reversal of 1974978432 is 2348794791.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1974978431) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 425082 + ... + 429702.

Almost surely, 2^1974978432 is an apocalyptic number.

1974978432 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 1974978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309536880).

1974978432 is an abundant number, since it is smaller than the sum of its proper divisors (4644095328).

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

1974978432 is a wasteful number, since it uses less digits than its factorization.

1974978432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4686 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 1974978432 is about 44440.7294269570. The cubic root of 1974978432 is about 1254.6447848945.

The spelling of 1974978432 in words is "one billion, nine hundred seventy-four million, nine hundred seventy-eight thousand, four hundred thirty-two".