542353504 has 96 divisors (see below), whose sum is σ = 1344784896. Its totient is φ = 209157120.

The previous prime is 542353459. The next prime is 542353523. The reversal of 542353504 is 405353245.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252724 + ... + 254860.

It is an arithmetic number, because the mean of its divisors is an integer number (14008176).

Almost surely, 2^542353504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542353504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672392448).

542353504 is an abundant number, since it is smaller than the sum of its proper divisors (802431392).

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

542353504 is a wasteful number, since it uses less digits than its factorization.

542353504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The square root of 542353504 is about 23288.4843645953. The cubic root of 542353504 is about 815.5066061256.

The spelling of 542353504 in words is "five hundred forty-two million, three hundred fifty-three thousand, five hundred four".