456478749 has 12 divisors (see below), whose sum is σ = 659838816. Its totient is φ = 304097352.

The previous prime is 456478741. The next prime is 456478777. The reversal of 456478749 is 947874654.

456478749 is a `hidden beast` number, since 4 + 564 + 7 + 8 + 74 + 9 = 666.

It is not a de Polignac number, because 456478749 - 2³ = 456478741 is a prime.

It is a super-3 number, since 3×456478749³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456478695 and 456478704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456478741) 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, 4929 + ... + 30614.

It is an arithmetic number, because the mean of its divisors is an integer number (54986568).

Almost surely, 2^456478749 is an apocalyptic number.

It is an amenable number.

456478749 is a deficient number, since it is larger than the sum of its proper divisors (203360067).

456478749 is a wasteful number, since it uses less digits than its factorization.

456478749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36976 (or 36973 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 456478749 is about 21365.3633013810. The cubic root of 456478749 is about 769.9694984263.

The spelling of 456478749 in words is "four hundred fifty-six million, four hundred seventy-eight thousand, seven hundred forty-nine".