456454003401 has 12 divisors (see below), whose sum is σ = 719260854000. Its totient is φ = 276638789880.

The previous prime is 456454003399. The next prime is 456454003403. The reversal of 456454003401 is 104300454654.

456454003401 is a `hidden beast` number, since 4 + 5 + 645 + 4 + 0 + 0 + 3 + 4 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (456454003399) and next prime (456454003403).

It is not a de Polignac number, because 456454003401 - 2¹ = 456454003399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456454003403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2305323151 + ... + 2305323348.

It is an arithmetic number, because the mean of its divisors is an integer number (59938404500).

Almost surely, 2^456454003401 is an apocalyptic number.

It is an amenable number.

456454003401 is a deficient number, since it is larger than the sum of its proper divisors (262806850599).

456454003401 is a wasteful number, since it uses less digits than its factorization.

456454003401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4610646516 (or 4610646513 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 456454003401 in words is "four hundred fifty-six billion, four hundred fifty-four million, three thousand, four hundred one".