4754351952 has 240 divisors, whose sum is σ = 15788418048. Its totient is φ = 1306920960.

The previous prime is 4754351939. The next prime is 4754351981. The reversal of 4754351952 is 2591534574.

4754351952 is a `hidden beast` number, since 4 + 7 + 543 + 51 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4754351898 and 4754351907.

It is a congruent number.

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, 7280458 + ... + 7281110.

Almost surely, 2^4754351952 is an apocalyptic number.

4754351952 is a gapful number since it is divisible by the number (42) 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 4754351952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894209024).

4754351952 is an abundant number, since it is smaller than the sum of its proper divisors (11034066096).

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

4754351952 is a wasteful number, since it uses less digits than its factorization.

4754351952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 929 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 4754351952 is about 68951.8089102817. The cubic root of 4754351952 is about 1681.5009205753.

The spelling of 4754351952 in words is "four billion, seven hundred fifty-four million, three hundred fifty-one thousand, nine hundred fifty-two".