542124000 has 432 divisors, whose sum is σ = 2157167376. Its totient is φ = 127872000.

The previous prime is 542123993. The next prime is 542124029. The reversal of 542124000 is 421245.

542124000 is a `hidden beast` number, since 5 + 421 + 240 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14651982 + ... + 14652018.

It is an arithmetic number, because the mean of its divisors is an integer number (4993443).

Almost surely, 2^542124000 is an apocalyptic number.

542124000 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 542124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078583688).

542124000 is an abundant number, since it is smaller than the sum of its proper divisors (1615043376).

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

542124000 is a wasteful number, since it uses less digits than its factorization.

542124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 542124000 is about 23283.5564293774. The cubic root of 542124000 is about 815.3915591233.

Adding to 542124000 its reverse (421245), we get a palindrome (542545245).

The spelling of 542124000 in words is "five hundred forty-two million, one hundred twenty-four thousand".