541456965 has 48 divisors (see below), whose sum is σ = 1129065600. Its totient is φ = 234493056.

The previous prime is 541456907. The next prime is 541456991. The reversal of 541456965 is 569654145.

541456965 is a `hidden beast` number, since 541 + 45 + 6 + 9 + 65 = 666.

It is not a de Polignac number, because 541456965 - 2⁶ = 541456901 is a prime.

It is a super-2 number, since 2×541456965² = 586351289894022450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 541456965.

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 an upside-down number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39250 + ... + 51219.

It is an arithmetic number, because the mean of its divisors is an integer number (23522200).

Almost surely, 2^541456965 is an apocalyptic number.

It is an amenable number.

541456965 is an abundant number, since it is smaller than the sum of its proper divisors (587608635).

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

541456965 is a wasteful number, since it uses less digits than its factorization.

541456965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90506 (or 90503 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 541456965 is about 23269.2278556896. The cubic root of 541456965 is about 815.0569997898.

The spelling of 541456965 in words is "five hundred forty-one million, four hundred fifty-six thousand, nine hundred sixty-five".