542258976 has 192 divisors, whose sum is σ = 1694262528. Its totient is φ = 148635648.

The previous prime is 542258957. The next prime is 542259019. The reversal of 542258976 is 679852245.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2809536 + ... + 2809728.

It is an arithmetic number, because the mean of its divisors is an integer number (8824284).

Almost surely, 2^542258976 is an apocalyptic number.

542258976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542258976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847131264).

542258976 is an abundant number, since it is smaller than the sum of its proper divisors (1152003552).

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

542258976 is a wasteful number, since it uses less digits than its factorization.

542258976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 542258976 is about 23286.4547752551. The cubic root of 542258976 is about 815.4592245519.

The spelling of 542258976 in words is "five hundred forty-two million, two hundred fifty-eight thousand, nine hundred seventy-six".