540202400 has 36 divisors (see below), whose sum is σ = 1318771062. Its totient is φ = 216080640.

The previous prime is 540202393. The next prime is 540202417. The reversal of 540202400 is 4202045.

It can be written as a sum of positive squares in 3 ways, for example, as 233111824 + 307090576 = 15268^2 + 17524^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 336827 + ... + 338426.

Almost surely, 2^540202400 is an apocalyptic number.

540202400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540202400 is an abundant number, since it is smaller than the sum of its proper divisors (778568662).

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

540202400 is a wasteful number, since it uses less digits than its factorization.

540202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675273 (or 675260 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 540202400 is about 23242.2546238527. The cubic root of 540202400 is about 814.4270126635.

Adding to 540202400 its reverse (4202045), we get a palindrome (544404445).

The spelling of 540202400 in words is "five hundred forty million, two hundred two thousand, four hundred".