523481190400 has 1053 divisors, whose sum is σ = 1692921523599. Its totient is φ = 160031047680.

The previous prime is 523481190263. The next prime is 523481190437. The reversal of 523481190400 is 4091184325.

The square root of 523481190400 is 723520.

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 12244750336 + 511236440064 = 110656^2 + 715008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 523481190400.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 27551641591 + ... + 27551641609.

Almost surely, 2^523481190400 is an apocalyptic number.

523481190400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

523481190400 is the 723520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523481190400

523481190400 is an abundant number, since it is smaller than the sum of its proper divisors (1169440333199).

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

523481190400 is a wasteful number, since it uses less digits than its factorization.

523481190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 523481190400 in words is "five hundred twenty-three billion, four hundred eighty-one million, one hundred ninety thousand, four hundred".