4952667456 has 168 divisors, whose sum is σ = 16004560320. Its totient is φ = 1500744960.

The previous prime is 4952667451. The next prime is 4952667457. The reversal of 4952667456 is 6547662594.

4952667456 is a `hidden beast` number, since 4 + 9 + 526 + 67 + 4 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4952667451) 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, 197245 + ... + 220931.

It is an arithmetic number, because the mean of its divisors is an integer number (95265240).

Almost surely, 2^4952667456 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 4952667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002280160).

4952667456 is an abundant number, since it is smaller than the sum of its proper divisors (11051892864).

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

4952667456 is a wasteful number, since it uses less digits than its factorization.

4952667456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23730 (or 23703 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 4952667456 is about 70375.1906285162. The cubic root of 4952667456 is about 1704.5629958759.

The spelling of 4952667456 in words is "four billion, nine hundred fifty-two million, six hundred sixty-seven thousand, four hundred fifty-six".