532491278400 has 315 divisors, whose sum is σ = 1958270087389. Its totient is φ = 141927621120.

The previous prime is 532491278387. The next prime is 532491278441. The reversal of 532491278400 is 4872194235.

The square root of 532491278400 is 729720.

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

532491278400 is a `hidden beast` number, since 53 + 2 + 491 + 2 + 78 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 191696860224 + 340794418176 = 437832^2 + 583776^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 262698187 + ... + 262700213.

Almost surely, 2^532491278400 is an apocalyptic number.

532491278400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

532491278400 is the 729720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532491278400

532491278400 is an abundant number, since it is smaller than the sum of its proper divisors (1425778808989).

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

532491278400 is an frugal number, since it uses more digits than its factorization.

532491278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 532491278400 in words is "five hundred thirty-two billion, four hundred ninety-one million, two hundred seventy-eight thousand, four hundred".