456944940 has 72 divisors (see below), whose sum is σ = 1390749360. Its totient is φ = 121440384.

The previous prime is 456944923. The next prime is 456944947. The reversal of 456944940 is 49449654.

456944940 is a `hidden beast` number, since 4 + 569 + 4 + 49 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (456944947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51126 + ... + 59394.

Almost surely, 2^456944940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456944940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695374680).

456944940 is an abundant number, since it is smaller than the sum of its proper divisors (933804420).

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

456944940 is a wasteful number, since it uses less digits than its factorization.

456944940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8591 (or 8586 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 456944940 is about 21376.2704885581. The cubic root of 456944940 is about 770.2315264863.

The spelling of 456944940 in words is "four hundred fifty-six million, nine hundred forty-four thousand, nine hundred forty".