540256400 has 30 divisors (see below), whose sum is σ = 1297966962. Its totient is φ = 216102400.

The previous prime is 540256369. The next prime is 540256411. The reversal of 540256400 is 4652045.

It can be written as a sum of positive squares in 3 ways, for example, as 163430656 + 376825744 = 12784^2 + 19412^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 540256400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 674921 + ... + 675720.

Almost surely, 2^540256400 is an apocalyptic number.

540256400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540256400 is an abundant number, since it is smaller than the sum of its proper divisors (757710562).

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

540256400 is a wasteful number, since it uses less digits than its factorization.

540256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350659 (or 1350648 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 540256400 is about 23243.4162721404. The cubic root of 540256400 is about 814.4541491549.

The spelling of 540256400 in words is "five hundred forty million, two hundred fifty-six thousand, four hundred".