542474240 has 256 divisors, whose sum is σ = 1660919040. Its totient is φ = 165150720.

The previous prime is 542474237. The next prime is 542474243. The reversal of 542474240 is 42474245.

It is an interprime number because it is at equal distance from previous prime (542474237) and next prime (542474243).

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 542474197 and 542474206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542474243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12615659 + ... + 12615701.

It is an arithmetic number, because the mean of its divisors is an integer number (6487965).

Almost surely, 2^542474240 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 542474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830459520).

542474240 is an abundant number, since it is smaller than the sum of its proper divisors (1118444800).

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

542474240 is an equidigital number, since it uses as much as digits as its factorization.

542474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 32.

The square root of 542474240 is about 23291.0764027771. The cubic root of 542474240 is about 815.5671162907.

The spelling of 542474240 in words is "five hundred forty-two million, four hundred seventy-four thousand, two hundred forty".