7255460952 has 192 divisors, whose sum is σ = 21379438080. Its totient is φ = 2300804352.

The previous prime is 7255460951. The next prime is 7255460977. The reversal of 7255460952 is 2590645527.

7255460952 is a `hidden beast` number, since 7 + 2 + 554 + 6 + 0 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7255460898 and 7255460907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7255460951) 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, 11758948 + ... + 11759564.

It is an arithmetic number, because the mean of its divisors is an integer number (111351240).

Almost surely, 2^7255460952 is an apocalyptic number.

7255460952 is a gapful number since it is divisible by the number (72) 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 7255460952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10689719040).

7255460952 is an abundant number, since it is smaller than the sum of its proper divisors (14123977128).

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

7255460952 is a wasteful number, since it uses less digits than its factorization.

7255460952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 908 counting only the distinct ones).

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

The square root of 7255460952 is about 85178.9936075791. The cubic root of 7255460952 is about 1935.9241448263.

The spelling of 7255460952 in words is "seven billion, two hundred fifty-five million, four hundred sixty thousand, nine hundred fifty-two".