542815272 has 192 divisors, whose sum is σ = 1617408000. Its totient is φ = 163924992.

The previous prime is 542815211. The next prime is 542815279. The reversal of 542815272 is 272518245.

It is a happy number.

542815272 is a `hidden beast` number, since 54 + 2 + 81 + 527 + 2 = 666.

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

Its product of digits (44800) is a multiple of the sum of its prime factors (280).

It is not an unprimeable number, because it can be changed into a prime (542815279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4274073 + ... + 4274199.

It is an arithmetic number, because the mean of its divisors is an integer number (8424000).

Almost surely, 2^542815272 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 542815272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808704000).

542815272 is an abundant number, since it is smaller than the sum of its proper divisors (1074592728).

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

542815272 is a wasteful number, since it uses less digits than its factorization.

542815272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 273 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 542815272 is about 23298.3963396625. The cubic root of 542815272 is about 815.7379853696.

The spelling of 542815272 in words is "five hundred forty-two million, eight hundred fifteen thousand, two hundred seventy-two".