542076480 has 336 divisors, whose sum is σ = 2071225728. Its totient is φ = 129024000.

The previous prime is 542076473. The next prime is 542076487. The reversal of 542076480 is 84670245.

542076480 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 7 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (542076473) and next prime (542076487).

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

It is not an unprimeable number, because it can be changed into a prime (542076487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2249160 + ... + 2249400.

Almost surely, 2^542076480 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 542076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035612864).

542076480 is an abundant number, since it is smaller than the sum of its proper divisors (1529149248).

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

542076480 is a wasteful number, since it uses less digits than its factorization.

542076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 542076480 is about 23282.5359443511. The cubic root of 542076480 is about 815.3677339843.

The spelling of 542076480 in words is "five hundred forty-two million, seventy-six thousand, four hundred eighty".