540893800 has 24 divisors (see below), whose sum is σ = 1257578550. Its totient is φ = 216357440.

The previous prime is 540893789. The next prime is 540893827. The reversal of 540893800 is 8398045.

It can be written as a sum of positive squares in 3 ways, for example, as 328841956 + 212051844 = 18134^2 + 14562^2 .

It is a super-2 number, since 2×540893800² = 585132205756880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 540893800.

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, 1352035 + ... + 1352434.

Almost surely, 2^540893800 is an apocalyptic number.

540893800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540893800 is an abundant number, since it is smaller than the sum of its proper divisors (716684750).

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

540893800 is a wasteful number, since it uses less digits than its factorization.

540893800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704485 (or 2704476 counting only the distinct ones).

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

The square root of 540893800 is about 23257.1236398657. The cubic root of 540893800 is about 814.7743237046.

The spelling of 540893800 in words is "five hundred forty million, eight hundred ninety-three thousand, eight hundred".