541605456 has 60 divisors (see below), whose sum is σ = 1732280992. Its totient is φ = 154744128.

The previous prime is 541605439. The next prime is 541605473. The reversal of 541605456 is 654506145.

541605456 is a `hidden beast` number, since 5 + 4 + 1 + 605 + 45 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (541605439) and next prime (541605473).

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

It is a self number, because there is not a number n which added to its sum of digits gives 541605456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267646 + ... + 269661.

Almost surely, 2^541605456 is an apocalyptic number.

541605456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

541605456 is an abundant number, since it is smaller than the sum of its proper divisors (1190675536).

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

541605456 is a wasteful number, since it uses less digits than its factorization.

541605456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537328 (or 537319 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 541605456 is about 23272.4183530634. The cubic root of 541605456 is about 815.1315009811.

The spelling of 541605456 in words is "five hundred forty-one million, six hundred five thousand, four hundred fifty-six".