4762250240 has 132 divisors (see below), whose sum is σ = 12558394128. Its totient is φ = 1731502080.

The previous prime is 4762250219. The next prime is 4762250249. The reversal of 4762250240 is 420522674.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4762250197 and 4762250206.

It is not an unprimeable number, because it can be changed into a prime (4762250249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 615677 + ... + 623363.

Almost surely, 2^4762250240 is an apocalyptic number.

4762250240 is a gapful number since it is divisible by the number (40) 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 4762250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279197064).

4762250240 is an abundant number, since it is smaller than the sum of its proper divisors (7796143888).

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

4762250240 is a wasteful number, since it uses less digits than its factorization.

4762250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7734 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 4762250240 is about 69009.0591154524. The cubic root of 4762250240 is about 1682.4315507995.

The spelling of 4762250240 in words is "four billion, seven hundred sixty-two million, two hundred fifty thousand, two hundred forty".