542822400 has 468 divisors, whose sum is σ = 2112622720. Its totient is φ = 132710400.

The previous prime is 542822353. The next prime is 542822459. The reversal of 542822400 is 4228245.

It is a happy number.

542822400 is a `hidden beast` number, since 542 + 82 + 2 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17510385 + ... + 17510415.

Almost surely, 2^542822400 is an apocalyptic number.

542822400 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 542822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056311360).

542822400 is an abundant number, since it is smaller than the sum of its proper divisors (1569800320).

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

542822400 is a wasteful number, since it uses less digits than its factorization.

542822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 542822400 is about 23298.5493110623. The cubic root of 542822400 is about 815.7415559857.

The spelling of 542822400 in words is "five hundred forty-two million, eight hundred twenty-two thousand, four hundred".