540435400 has 96 divisors (see below), whose sum is σ = 1317415680. Its totient is φ = 205920000.

The previous prime is 540435397. The next prime is 540435409. The reversal of 540435400 is 4534045.

It is a super-3 number, since 3×540435400³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (540435409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414750 + ... + 416050.

It is an arithmetic number, because the mean of its divisors is an integer number (13723080).

Almost surely, 2^540435400 is an apocalyptic number.

540435400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540435400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658707840).

540435400 is an abundant number, since it is smaller than the sum of its proper divisors (776980280).

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

540435400 is a wasteful number, since it uses less digits than its factorization.

540435400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 540435400 is about 23247.2665059787. The cubic root of 540435400 is about 814.5440886692.

Adding to 540435400 its reverse (4534045), we get a palindrome (544969445).

It can be divided in two parts, 5404 and 35400, that added together give a palindrome (40804).

The spelling of 540435400 in words is "five hundred forty million, four hundred thirty-five thousand, four hundred".