542393280 has 448 divisors, whose sum is σ = 2253081600. Its totient is φ = 121098240.

The previous prime is 542393261. The next prime is 542393287. The reversal of 542393280 is 82393245.

542393280 is a `hidden beast` number, since 542 + 3 + 9 + 32 + 80 = 666.

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 (542393287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235301 + ... + 1235739.

It is an arithmetic number, because the mean of its divisors is an integer number (5029200).

Almost surely, 2^542393280 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 542393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126540800).

542393280 is an abundant number, since it is smaller than the sum of its proper divisors (1710688320).

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

542393280 is a wasteful number, since it uses less digits than its factorization.

542393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 542393280 is about 23289.3383332374. The cubic root of 542393280 is about 815.5265419532.

The spelling of 542393280 in words is "five hundred forty-two million, three hundred ninety-three thousand, two hundred eighty".