542815344 has 120 divisors (see below), whose sum is σ = 1587658800. Its totient is φ = 179532288.

The previous prime is 542815333. The next prime is 542815367. The reversal of 542815344 is 443518245.

It is a happy number.

542815344 is a `hidden beast` number, since 5 + 42 + 81 + 534 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 542815299 and 542815308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578844 + ... + 579780.

It is an arithmetic number, because the mean of its divisors is an integer number (13230490).

Almost surely, 2^542815344 is an apocalyptic number.

542815344 is a gapful number since it is divisible by the number (54) 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 542815344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793829400).

542815344 is an abundant number, since it is smaller than the sum of its proper divisors (1044843456).

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

542815344 is a wasteful number, since it uses less digits than its factorization.

542815344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1091 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 542815344 is about 23298.3978848332. The cubic root of 542815344 is about 815.7380214365.

The spelling of 542815344 in words is "five hundred forty-two million, eight hundred fifteen thousand, three hundred forty-four".