542256000 has 512 divisors, whose sum is σ = 2138572800. Its totient is φ = 119808000.

The previous prime is 542255993. The next prime is 542256019. The reversal of 542256000 is 652245.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6863961 + ... + 6864039.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2^542256000 is an apocalyptic number.

542256000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069286400).

542256000 is an abundant number, since it is smaller than the sum of its proper divisors (1596316800).

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

542256000 is a wasteful number, since it uses less digits than its factorization.

542256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 542256000 is about 23286.3908753589. The cubic root of 542256000 is about 815.4577327610.

The spelling of 542256000 in words is "five hundred forty-two million, two hundred fifty-six thousand".