542800440 has 480 divisors, whose sum is σ = 2294218080. Its totient is φ = 114089472.

The previous prime is 542800411. The next prime is 542800441. The reversal of 542800440 is 44008245.

542800440 = T₁₆₈ + T₁₆₉ + ... + T₁₄₈₂.

542800440 is a `hidden beast` number, since 542 + 80 + 0 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542800441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2063749 + ... + 2064011.

It is an arithmetic number, because the mean of its divisors is an integer number (4779621).

Almost surely, 2^542800440 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 542800440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147109040).

542800440 is an abundant number, since it is smaller than the sum of its proper divisors (1751417640).

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

542800440 is a wasteful number, since it uses less digits than its factorization.

542800440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 542800440 is about 23298.0780323185. The cubic root of 542800440 is about 815.7305555025.

Adding to 542800440 its reverse (44008245), we get a palindrome (586808685).

The spelling of 542800440 in words is "five hundred forty-two million, eight hundred thousand, four hundred forty".