1972832400 has 540 divisors, whose sum is σ = 8613573696. Its totient is φ = 409305600.

The previous prime is 1972832399. The next prime is 1972832413. The reversal of 1972832400 is 42382791.

It is a hoax number, since the sum of its digits (36) 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 (36).

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 107 ways as a sum of consecutive naturals, for example, 3048877 + ... + 3049523.

Almost surely, 2^1972832400 is an apocalyptic number.

1972832400 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 1972832400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306786848).

1972832400 is an abundant number, since it is smaller than the sum of its proper divisors (6640741296).

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

1972832400 is a wasteful number, since it uses less digits than its factorization.

1972832400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1972832400 is about 44416.5779861529. The cubic root of 1972832400 is about 1254.1901835281.

The spelling of 1972832400 in words is "one billion, nine hundred seventy-two million, eight hundred thirty-two thousand, four hundred".