542326400 has 384 divisors, whose sum is σ = 1748459520. Its totient is φ = 161280000.

The previous prime is 542326387. The next prime is 542326423. The reversal of 542326400 is 4623245.

It is a self number, because there is not a number n which added to its sum of digits gives 542326400.

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 47 ways as a sum of consecutive naturals, for example, 7638365 + ... + 7638435.

It is an arithmetic number, because the mean of its divisors is an integer number (4553280).

Almost surely, 2^542326400 is an apocalyptic number.

542326400 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 542326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874229760).

542326400 is an abundant number, since it is smaller than the sum of its proper divisors (1206133120).

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

542326400 is a wasteful number, since it uses less digits than its factorization.

542326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 542326400 is about 23287.9024388200. The cubic root of 542326400 is about 815.4930209767.

Adding to 542326400 its reverse (4623245), we get a palindrome (546949645).

The spelling of 542326400 in words is "five hundred forty-two million, three hundred twenty-six thousand, four hundred".