456403541 has 8 divisors (see below), whose sum is σ = 524100000. Its totient is φ = 393074640.

The previous prime is 456403529. The next prime is 456403543. The reversal of 456403541 is 145304654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456403541 - 2¹⁰ = 456402517 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456403498 and 456403507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456403543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1091666 + ... + 1092083.

It is an arithmetic number, because the mean of its divisors is an integer number (65512500).

Almost surely, 2^456403541 is an apocalyptic number.

It is an amenable number.

456403541 is a deficient number, since it is larger than the sum of its proper divisors (67696459).

456403541 is a wasteful number, since it uses less digits than its factorization.

456403541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183779.

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 456403541 is about 21363.6031839201. The cubic root of 456403541 is about 769.9272101879.

The spelling of 456403541 in words is "four hundred fifty-six million, four hundred three thousand, five hundred forty-one".