542914164 has 120 divisors (see below), whose sum is σ = 1540069608. Its totient is φ = 165784320.

The previous prime is 542914157. The next prime is 542914181. The reversal of 542914164 is 461419245.

It can be written as a sum of positive squares in 4 ways, for example, as 396900 + 542517264 = 630^2 + 23292^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 660874 + ... + 661694.

Almost surely, 2^542914164 is an apocalyptic number.

542914164 is a gapful number since it is divisible by the number (54) 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 542914164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770034804).

542914164 is an abundant number, since it is smaller than the sum of its proper divisors (997155444).

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

542914164 is a wasteful number, since it uses less digits than its factorization.

542914164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 996 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 542914164 is about 23300.5185350026. The cubic root of 542914164 is about 815.7875203689.

The spelling of 542914164 in words is "five hundred forty-two million, nine hundred fourteen thousand, one hundred sixty-four".