542460672 has 144 divisors (see below), whose sum is σ = 1727834080. Its totient is φ = 166883328.

The previous prime is 542460649. The next prime is 542460673. The reversal of 542460672 is 276064245.

542460672 is a `hidden beast` number, since 5 + 42 + 4 + 606 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (542460673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86838 + ... + 92874.

Almost surely, 2^542460672 is an apocalyptic number.

542460672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863917040).

542460672 is an abundant number, since it is smaller than the sum of its proper divisors (1185373408).

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

542460672 is a wasteful number, since it uses less digits than its factorization.

542460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6075 (or 6055 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 542460672 is about 23290.7851306048. The cubic root of 542460672 is about 815.5603167624.

The spelling of 542460672 in words is "five hundred forty-two million, four hundred sixty thousand, six hundred seventy-two".