542438400 has 264 divisors, whose sum is σ = 2050930240. Its totient is φ = 123863040.

The previous prime is 542438387. The next prime is 542438401. The reversal of 542438400 is 4834245.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542438401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537096 + ... + 538104.

Almost surely, 2^542438400 is an apocalyptic number.

542438400 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 542438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025465120).

542438400 is an abundant number, since it is smaller than the sum of its proper divisors (1508491840).

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

542438400 is a wasteful number, since it uses less digits than its factorization.

542438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 542438400 is about 23290.3069966886. The cubic root of 542438400 is about 815.5491550266.

The spelling of 542438400 in words is "five hundred forty-two million, four hundred thirty-eight thousand, four hundred".