542415420 has 192 divisors, whose sum is σ = 1838592000. Its totient is φ = 132233472.

The previous prime is 542415403. The next prime is 542415431. The reversal of 542415420 is 24514245.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296629 + ... + 298451.

It is an arithmetic number, because the mean of its divisors is an integer number (9576000).

Almost surely, 2^542415420 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 542415420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919296000).

542415420 is an abundant number, since it is smaller than the sum of its proper divisors (1296176580).

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

542415420 is a wasteful number, since it uses less digits than its factorization.

542415420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 542415420 is about 23289.8136531832. The cubic root of 542415420 is about 815.5376381526.

Adding to 542415420 its reverse (24514245), we get a palindrome (566929665).

The spelling of 542415420 in words is "five hundred forty-two million, four hundred fifteen thousand, four hundred twenty".