542752320 has 224 divisors, whose sum is σ = 1901952000. Its totient is φ = 130037760.

The previous prime is 542752307. The next prime is 542752333. The reversal of 542752320 is 23257245.

It is an interprime number because it is at equal distance from previous prime (542752307) and next prime (542752333).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1087431 + ... + 1087929.

Almost surely, 2^542752320 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 542752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950976000).

542752320 is an abundant number, since it is smaller than the sum of its proper divisors (1359199680).

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

542752320 is a wasteful number, since it uses less digits than its factorization.

542752320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 542752320 is about 23297.0453062186. The cubic root of 542752320 is about 815.7064495810.

The spelling of 542752320 in words is "five hundred forty-two million, seven hundred fifty-two thousand, three hundred twenty".