542338400 has 72 divisors (see below), whose sum is σ = 1349069904. Its totient is φ = 212825600.

The previous prime is 542338361. The next prime is 542338409. The reversal of 542338400 is 4833245.

It is a super-2 number, since 2×542338400² = 588261880229120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542338409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36005 + ... + 48795.

It is an arithmetic number, because the mean of its divisors is an integer number (18737082).

Almost surely, 2^542338400 is an apocalyptic number.

542338400 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 542338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674534952).

542338400 is an abundant number, since it is smaller than the sum of its proper divisors (806731504).

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

542338400 is a wasteful number, since it uses less digits than its factorization.

542338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12864 (or 12851 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 542338400 is about 23288.1600818957. The cubic root of 542338400 is about 815.4990357089.

The spelling of 542338400 in words is "five hundred forty-two million, three hundred thirty-eight thousand, four hundred".