542927520 has 144 divisors (see below), whose sum is σ = 1871585352. Its totient is φ = 143308800.

The previous prime is 542927519. The next prime is 542927533. The reversal of 542927520 is 25729245.

It is a happy number.

542927520 is a `hidden beast` number, since 5 + 42 + 92 + 7 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 531394704 + 11532816 = 23052^2 + 3396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 143574 + ... + 147306.

Almost surely, 2^542927520 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 542927520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935792676).

542927520 is an abundant number, since it is smaller than the sum of its proper divisors (1328657832).

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

542927520 is a wasteful number, since it uses less digits than its factorization.

542927520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 542927520 is about 23300.8051363038. The cubic root of 542927520 is about 815.7942099278.

The spelling of 542927520 in words is "five hundred forty-two million, nine hundred twenty-seven thousand, five hundred twenty".