540307416 has 64 divisors (see below), whose sum is σ = 1476535680. Its totient is φ = 163399680.

The previous prime is 540307399. The next prime is 540307423. The reversal of 540307416 is 614703045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150555 + ... + 154101.

It is an arithmetic number, because the mean of its divisors is an integer number (23070870).

Almost surely, 2^540307416 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 540307416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738267840).

540307416 is an abundant number, since it is smaller than the sum of its proper divisors (936228264).

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

540307416 is a wasteful number, since it uses less digits than its factorization.

540307416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 540307416 is about 23244.5136752740. The cubic root of 540307416 is about 814.4797844428.

The spelling of 540307416 in words is "five hundred forty million, three hundred seven thousand, four hundred sixteen".