4457456640 has 528 divisors, whose sum is σ = 19027077888. Its totient is φ = 939589632.

The previous prime is 4457456569. The next prime is 4457456693. The reversal of 4457456640 is 466547544.

4457456640 is a `hidden beast` number, since 4 + 45 + 7 + 4 + 566 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4192749 + ... + 4193811.

Almost surely, 2^4457456640 is an apocalyptic number.

4457456640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4457456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9513538944).

4457456640 is an abundant number, since it is smaller than the sum of its proper divisors (14569621248).

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

4457456640 is a wasteful number, since it uses less digits than its factorization.

4457456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The square root of 4457456640 is about 66764.1868070001. The cubic root of 4457456640 is about 1645.7443612229.

The spelling of 4457456640 in words is "four billion, four hundred fifty-seven million, four hundred fifty-six thousand, six hundred forty".