542000400 has 60 divisors (see below), whose sum is σ = 1736211792. Its totient is φ = 144533120.

The previous prime is 542000377. The next prime is 542000413. The reversal of 542000400 is 4000245.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 542000400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224634 + ... + 227033.

Almost surely, 2^542000400 is an apocalyptic number.

542000400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542000400 is an abundant number, since it is smaller than the sum of its proper divisors (1194211392).

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

542000400 is a wasteful number, since it uses less digits than its factorization.

542000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451688 (or 451677 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 542000400 is about 23280.9020443796. The cubic root of 542000400 is about 815.3295867967.

Adding to 542000400 its reverse (4000245), we get a palindrome (546000645).

The spelling of 542000400 in words is "five hundred forty-two million, four hundred", and thus it is an aban number.