540015400 has 48 divisors (see below), whose sum is σ = 1258474140. Its totient is φ = 215500800.

The previous prime is 540015391. The next prime is 540015401. The reversal of 540015400 is 4510045.

540015400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 292204836 + 247810564 = 17094^2 + 15742^2 .

It is not an unprimeable number, because it can be changed into a prime (540015401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89272 + ... + 95128.

Almost surely, 2^540015400 is an apocalyptic number.

540015400 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 540015400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629237070).

540015400 is an abundant number, since it is smaller than the sum of its proper divisors (718458740).

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

540015400 is a wasteful number, since it uses less digits than its factorization.

540015400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6334 (or 6325 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 540015400 is about 23238.2314301239. The cubic root of 540015400 is about 814.3330260218. Note that the first 3 decimals are identical.

Adding to 540015400 its reverse (4510045), we get a palindrome (544525445).

The spelling of 540015400 in words is "five hundred forty million, fifteen thousand, four hundred".