456417040 has 20 divisors (see below), whose sum is σ = 1061169804. Its totient is φ = 182566784.

The previous prime is 456417029. The next prime is 456417041. The reversal of 456417040 is 40714654.

It can be written as a sum of positive squares in 2 ways, for example, as 110754576 + 345662464 = 10524^2 + 18592^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 456416993 and 456417011.

It is not an unprimeable number, because it can be changed into a prime (456417041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2852527 + ... + 2852686.

Almost surely, 2^456417040 is an apocalyptic number.

456417040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456417040 is an abundant number, since it is smaller than the sum of its proper divisors (604752764).

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

456417040 is a wasteful number, since it uses less digits than its factorization.

456417040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5705226 (or 5705220 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 456417040 is about 21363.9191161172. The cubic root of 456417040 is about 769.9348007987.

The spelling of 456417040 in words is "four hundred fifty-six million, four hundred seventeen thousand, forty".