456745040 has 40 divisors (see below), whose sum is σ = 1108107648. Its totient is φ = 174753920.

The previous prime is 456745031. The next prime is 456745049. The reversal of 456745040 is 40547654.

It is an interprime number because it is at equal distance from previous prime (456745031) and next prime (456745049).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456745049) 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, 122276 + ... + 125955.

Almost surely, 2^456745040 is an apocalyptic number.

456745040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456745040 is an abundant number, since it is smaller than the sum of its proper divisors (651362608).

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

456745040 is a wasteful number, since it uses less digits than its factorization.

456745040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248267 (or 248261 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 456745040 is about 21371.5942315963. The cubic root of 456745040 is about 770.1191922082.

The spelling of 456745040 in words is "four hundred fifty-six million, seven hundred forty-five thousand, forty".