542001600 has 504 divisors, whose sum is σ = 2325664640. Its totient is φ = 116951040.

The previous prime is 542001589. The next prime is 542001617. The reversal of 542001600 is 6100245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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, 1915059 + ... + 1915341.

Almost surely, 2^542001600 is an apocalyptic number.

542001600 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 542001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162832320).

542001600 is an abundant number, since it is smaller than the sum of its proper divisors (1783663040).

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

542001600 is a wasteful number, since it uses less digits than its factorization.

542001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 542001600 is about 23280.9278165626. The cubic root of 542001600 is about 815.3301885150.

Adding to 542001600 its reverse (6100245), we get a palindrome (548101845).

The spelling of 542001600 in words is "five hundred forty-two million, one thousand, six hundred".