542786400 has 288 divisors, whose sum is σ = 2115177120. Its totient is φ = 133539840.

The previous prime is 542786399. The next prime is 542786429. The reversal of 542786400 is 4687245.

542786400 is a `hidden beast` number, since 5 + 4 + 2 + 7 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279834 + ... + 281766.

It is an arithmetic number, because the mean of its divisors is an integer number (7344365).

Almost surely, 2^542786400 is an apocalyptic number.

542786400 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 542786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057588560).

542786400 is an abundant number, since it is smaller than the sum of its proper divisors (1572390720).

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

542786400 is a wasteful number, since it uses less digits than its factorization.

542786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 542786400 is about 23297.7767179617. The cubic root of 542786400 is about 815.7235222511.

The spelling of 542786400 in words is "five hundred forty-two million, seven hundred eighty-six thousand, four hundred".