542148480 has 192 divisors, whose sum is σ = 1904029920. Its totient is φ = 142110720.

The previous prime is 542148473. The next prime is 542148487. The reversal of 542148480 is 84841245.

It is an interprime number because it is at equal distance from previous prime (542148473) and next prime (542148487).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542148487) 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, 350589 + ... + 352131.

Almost surely, 2^542148480 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 542148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952014960).

542148480 is an abundant number, since it is smaller than the sum of its proper divisors (1361881440).

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

542148480 is a wasteful number, since it uses less digits than its factorization.

542148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 542148480 is about 23284.0821163300. The cubic root of 542148480 is about 815.4038321365.

The spelling of 542148480 in words is "five hundred forty-two million, one hundred forty-eight thousand, four hundred eighty".