4455677952 has 360 divisors, whose sum is σ = 14598878112. Its totient is φ = 1297612800.

The previous prime is 4455677929. The next prime is 4455677959. The reversal of 4455677952 is 2597765544.

It is a happy number.

4455677952 is a `hidden beast` number, since 4 + 4 + 5 + 567 + 79 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4455677959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66502623 + ... + 66502689.

Almost surely, 2^4455677952 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 4455677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299439056).

4455677952 is an abundant number, since it is smaller than the sum of its proper divisors (10143200160).

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

4455677952 is a wasteful number, since it uses less digits than its factorization.

4455677952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The square root of 4455677952 is about 66750.8648033866. The cubic root of 4455677952 is about 1645.5254280635.

The spelling of 4455677952 in words is "four billion, four hundred fifty-five million, six hundred seventy-seven thousand, nine hundred fifty-two".