363271398400 has 99 divisors (see below), whose sum is σ = 900712275049. Its totient is φ = 145269985280.

The previous prime is 363271398389. The next prime is 363271398409. The reversal of 363271398400 is 4893172363.

The square root of 363271398400 is 602720.

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

It can be written as a sum of positive squares in only one way, i.e., 130777703424 + 232493694976 = 361632^2 + 482176^2 .

It is a super-2 number, since 2×363271398400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (363271398409) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 96433317 + ... + 96437083.

Almost surely, 2^363271398400 is an apocalyptic number.

363271398400 is the 602720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363271398400

363271398400 is an abundant number, since it is smaller than the sum of its proper divisors (537440876649).

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

363271398400 is an frugal number, since it uses more digits than its factorization.

363271398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 363271398400 in words is "three hundred sixty-three billion, two hundred seventy-one million, three hundred ninety-eight thousand, four hundred".