542868480 has 880 divisors, whose sum is σ = 2568018816. Its totient is φ = 106168320.

The previous prime is 542868479. The next prime is 542868493. The reversal of 542868480 is 84868245.

542868480 is a `hidden beast` number, since 542 + 8 + 68 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31933432 + ... + 31933448.

Almost surely, 2^542868480 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 542868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284009408).

542868480 is an abundant number, since it is smaller than the sum of its proper divisors (2025150336).

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

542868480 is a wasteful number, since it uses less digits than its factorization.

542868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 542868480 is about 23299.5381928484. The cubic root of 542868480 is about 815.7646380025.

The spelling of 542868480 in words is "five hundred forty-two million, eight hundred sixty-eight thousand, four hundred eighty".