542926560 has 288 divisors, whose sum is σ = 1945835136. Its totient is φ = 126182400.

The previous prime is 542926537. The next prime is 542926583. The reversal of 542926560 is 65629245.

It is an interprime number because it is at equal distance from previous prime (542926537) and next prime (542926583).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5074027 + ... + 5074133.

It is an arithmetic number, because the mean of its divisors is an integer number (6756372).

Almost surely, 2^542926560 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 542926560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972917568).

542926560 is an abundant number, since it is smaller than the sum of its proper divisors (1402908576).

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

542926560 is a wasteful number, since it uses less digits than its factorization.

542926560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 542926560 is about 23300.7845361481. The cubic root of 542926560 is about 815.7937291006.

The spelling of 542926560 in words is "five hundred forty-two million, nine hundred twenty-six thousand, five hundred sixty".