542683440 has 240 divisors, whose sum is σ = 2017037568. Its totient is φ = 129890304.

The previous prime is 542683381. The next prime is 542683447. The reversal of 542683440 is 44386245.

542683440 is a `hidden beast` number, since 54 + 268 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 542683395 and 542683404.

It is not an unprimeable number, because it can be changed into a prime (542683447) 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, 345537 + ... + 347103.

Almost surely, 2^542683440 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 542683440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008518784).

542683440 is an abundant number, since it is smaller than the sum of its proper divisors (1474354128).

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

542683440 is a wasteful number, since it uses less digits than its factorization.

542683440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 542683440 is about 23295.5669602609. The cubic root of 542683440 is about 815.6719413685.

The spelling of 542683440 in words is "five hundred forty-two million, six hundred eighty-three thousand, four hundred forty".