542465280 has 486 divisors, whose sum is σ = 2256002658. Its totient is φ = 119992320.

The previous prime is 542465233. The next prime is 542465303. The reversal of 542465280 is 82564245.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 433972224 + 108493056 = 20832^2 + 10416^2 .

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 polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 17498865 + ... + 17498895.

Almost surely, 2^542465280 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 542465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128001329).

542465280 is an abundant number, since it is smaller than the sum of its proper divisors (1713537378).

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

542465280 is a wasteful number, since it uses less digits than its factorization.

542465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 542465280 is about 23290.8840536378. The cubic root of 542465280 is about 815.5626260488.

The spelling of 542465280 in words is "five hundred forty-two million, four hundred sixty-five thousand, two hundred eighty".