19482576400 has 135 divisors (see below), whose sum is σ = 54503498439. Its totient is φ = 6673040640.

The previous prime is 19482576341. The next prime is 19482576409. The reversal of 19482576400 is 467528491.

The square root of 19482576400 is 139580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1298593296 + 18183983104 = 36036^2 + 134848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19482576409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19540702 + ... + 19541698.

Almost surely, 2^19482576400 is an apocalyptic number.

19482576400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19482576400 is the 139580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19482576400

19482576400 is an abundant number, since it is smaller than the sum of its proper divisors (35020922039).

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

19482576400 is an frugal number, since it uses more digits than its factorization.

19482576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 19482576400 in words is "nineteen billion, four hundred eighty-two million, five hundred seventy-six thousand, four hundred".