542751840 has 120 divisors (see below), whose sum is σ = 1915507440. Its totient is φ = 144730368.

The previous prime is 542751827. The next prime is 542751863. The reversal of 542751840 is 48157245.

542751840 is a `hidden beast` number, since 542 + 75 + 1 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 542751795 and 542751804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7980 + ... + 33899.

It is an arithmetic number, because the mean of its divisors is an integer number (15962562).

Almost surely, 2^542751840 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 542751840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957753720).

542751840 is an abundant number, since it is smaller than the sum of its proper divisors (1372755600).

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

542751840 is a wasteful number, since it uses less digits than its factorization.

542751840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41906 (or 41889 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 542751840 is about 23297.0350044807. The cubic root of 542751840 is about 815.7062091157.

The spelling of 542751840 in words is "five hundred forty-two million, seven hundred fifty-one thousand, eight hundred forty".