542400 has 84 divisors (see below), whose sum is σ = 1795272. Its totient is φ = 143360.

The previous prime is 542371. The next prime is 542401. The reversal of 542400 is 4245.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 542400.

It is not an unprimeable number, because it can be changed into a prime (542401) by changing a digit.

542400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4744 + ... + 4856.

2⁵⁴²⁴⁰⁰ is an apocalyptic number.

542400 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 542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897636).

542400 is an abundant number, since it is smaller than the sum of its proper divisors (1252872).

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

542400 is a wasteful number, since it uses less digits than its factorization.

542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

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

The square root of 542400 is about 736.4781055809. The cubic root of 542400 is about 81.5529909937.

Adding to 542400 its reverse (4245), we get a palindrome (546645).

It can be divided in two parts, 54 and 2400, that multiplied together give a square (129600 = 360²).

The spelling of 542400 in words is "five hundred forty-two thousand, four hundred".