540100416 has 56 divisors (see below), whose sum is σ = 1445117760. Its totient is φ = 178004992.

The previous prime is 540100411. The next prime is 540100439. The reversal of 540100416 is 614001045.

It is a junction number, because it is equal to n+sod(n) for n = 540100392 and 540100401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540100411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1285 + ... + 32891.

Almost surely, 2^540100416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722558880).

540100416 is an abundant number, since it is smaller than the sum of its proper divisors (905017344).

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

540100416 is a wasteful number, since it uses less digits than its factorization.

540100416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31711 (or 31701 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 540100416 is about 23240.0605851190. The cubic root of 540100416 is about 814.3757579536.

The spelling of 540100416 in words is "five hundred forty million, one hundred thousand, four hundred sixteen".