540443904 has 576 divisors, whose sum is σ = 2087823360. Its totient is φ = 119439360.

The previous prime is 540443899. The next prime is 540443921. The reversal of 540443904 is 409344045.

It is a super-2 number, since 2×540443904² = 584159226741522432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14606574 + ... + 14606610.

Almost surely, 2^540443904 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 540443904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043911680).

540443904 is an abundant number, since it is smaller than the sum of its proper divisors (1547379456).

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

540443904 is a wasteful number, since it uses less digits than its factorization.

540443904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 540443904 is about 23247.4494084835. The cubic root of 540443904 is about 814.5483610556.

Adding to 540443904 its reverse (409344045), we get a palindrome (949787949).

It can be divided in two parts, 540 and 443904, that added together give a palindrome (444444).

The spelling of 540443904 in words is "five hundred forty million, four hundred forty-three thousand, nine hundred four".