542177312 has 48 divisors (see below), whose sum is σ = 1126742400. Its totient is φ = 256101120.

The previous prime is 542177303. The next prime is 542177323. The reversal of 542177312 is 213771245.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261014 + ... + 263082.

It is an arithmetic number, because the mean of its divisors is an integer number (23473800).

Almost surely, 2^542177312 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 542177312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563371200).

542177312 is an abundant number, since it is smaller than the sum of its proper divisors (584565088).

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

542177312 is a wasteful number, since it uses less digits than its factorization.

542177312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2521 counting only the distinct ones).

The product of its digits is 11760, while the sum is 32.

The square root of 542177312 is about 23284.7012435204. The cubic root of 542177312 is about 815.4182865448.

The spelling of 542177312 in words is "five hundred forty-two million, one hundred seventy-seven thousand, three hundred twelve".