542779600 has 120 divisors (see below), whose sum is σ = 1430890560. Its totient is φ = 196224000.

The previous prime is 542779577. The next prime is 542779609. The reversal of 542779600 is 6977245.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542779609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1236181 + ... + 1236619.

It is an arithmetic number, because the mean of its divisors is an integer number (11924088).

Almost surely, 2^542779600 is an apocalyptic number.

542779600 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 542779600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715445280).

542779600 is an abundant number, since it is smaller than the sum of its proper divisors (888110960).

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

542779600 is a wasteful number, since it uses less digits than its factorization.

542779600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 542779600 is about 23297.6307808326. The cubic root of 542779600 is about 815.7201157895.

The spelling of 542779600 in words is "five hundred forty-two million, seven hundred seventy-nine thousand, six hundred".