542517264 has 75 divisors (see below), whose sum is σ = 1572633007. Its totient is φ = 180559584.

The previous prime is 542517233. The next prime is 542517281. The reversal of 542517264 is 462715245.

It is a happy number.

The square root of 542517264 is 23292.

It is a perfect power (a square), and thus also a powerful number.

542517264 is a `hidden beast` number, since 5 + 425 + 172 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 838189 + ... + 838835.

Almost surely, 2^542517264 is an apocalyptic number.

542517264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

542517264 is the 23292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542517264

542517264 is an abundant number, since it is smaller than the sum of its proper divisors (1030115743).

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

542517264 is an frugal number, since it uses more digits than its factorization.

542517264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 652 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The cubic root of 542517264 is about 815.5886767811.

Multiplying 542517264 by its sum of digits (36), we get a square (19530621504 = 139752²).

542517264 divided by its sum of digits (36) gives a square (15069924 = 3882²).

The spelling of 542517264 in words is "five hundred forty-two million, five hundred seventeen thousand, two hundred sixty-four".