542077920 has 240 divisors, whose sum is σ = 1932704928. Its totient is φ = 143078400.

The previous prime is 542077919. The next prime is 542077937. The reversal of 542077920 is 29770245.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1956822 + ... + 1957098.

Almost surely, 2^542077920 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 542077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966352464).

542077920 is an abundant number, since it is smaller than the sum of its proper divisors (1390627008).

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

542077920 is a wasteful number, since it uses less digits than its factorization.

542077920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 542077920 is about 23282.5668687969. The cubic root of 542077920 is about 815.3684559786.

The spelling of 542077920 in words is "five hundred forty-two million, seventy-seven thousand, nine hundred twenty".