4506634440 has 192 divisors, whose sum is σ = 18260760960. Its totient is φ = 936437760.

The previous prime is 4506634439. The next prime is 4506634441. The reversal of 4506634440 is 444366054.

It is an interprime number because it is at equal distance from previous prime (4506634439) and next prime (4506634441).

It is a super-2 number, since 2×4506634440² = 40619507951588227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4506634395 and 4506634404.

It is not an unprimeable number, because it can be changed into a prime (4506634441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53569 + ... + 109008.

It is an arithmetic number, because the mean of its divisors is an integer number (95108130).

Almost surely, 2^4506634440 is an apocalyptic number.

4506634440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4506634440 is an abundant number, since it is smaller than the sum of its proper divisors (13754126520).

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

4506634440 is a wasteful number, since it uses less digits than its factorization.

4506634440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162612 (or 162605 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4506634440 is about 67131.4713081726. The cubic root of 4506634440 is about 1651.7745756075.

The spelling of 4506634440 in words is "four billion, five hundred six million, six hundred thirty-four thousand, four hundred forty".