542511648 has 192 divisors, whose sum is σ = 1820528640. Its totient is φ = 153964800.

The previous prime is 542511623. The next prime is 542511659. The reversal of 542511648 is 846115245.

It is a happy number.

542511648 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 1 + 1 + 648 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1638843 + ... + 1639173.

It is an arithmetic number, because the mean of its divisors is an integer number (9481920).

Almost surely, 2^542511648 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 542511648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910264320).

542511648 is an abundant number, since it is smaller than the sum of its proper divisors (1278016992).

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

542511648 is a wasteful number, since it uses less digits than its factorization.

542511648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 614 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 542511648 is about 23291.8794432738. The cubic root of 542511648 is about 815.5858625163.

The spelling of 542511648 in words is "five hundred forty-two million, five hundred eleven thousand, six hundred forty-eight".