540403776 has 252 divisors, whose sum is σ = 1805665680. Its totient is φ = 152824320.

The previous prime is 540403771. The next prime is 540403789. The reversal of 540403776 is 677304045.

540403776 is a `hidden beast` number, since 540 + 40 + 3 + 7 + 76 = 666.

It is a super-2 number, since 2×540403776² = 584072482230116352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 540403776.

It is not an unprimeable number, because it can be changed into a prime (540403771) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8065695 + ... + 8065761.

It is an arithmetic number, because the mean of its divisors is an integer number (7165340).

Almost surely, 2^540403776 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 540403776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902832840).

540403776 is an abundant number, since it is smaller than the sum of its proper divisors (1265261904).

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

540403776 is a wasteful number, since it uses less digits than its factorization.

540403776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 540403776 is about 23246.5863300399. The cubic root of 540403776 is about 814.5282004646.

The spelling of 540403776 in words is "five hundred forty million, four hundred three thousand, seven hundred seventy-six".