4754262240 has 864 divisors, whose sum is σ = 20893070016. Its totient is φ = 975421440.

The previous prime is 4754262229. The next prime is 4754262241. The reversal of 4754262240 is 422624574.

4754262240 is a `hidden beast` number, since 4 + 7 + 5 + 426 + 224 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4754262195 and 4754262204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4754262241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65126844 + ... + 65126916.

It is an arithmetic number, because the mean of its divisors is an integer number (24181794).

Almost surely, 2^4754262240 is an apocalyptic number.

4754262240 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 4754262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10446535008).

4754262240 is an abundant number, since it is smaller than the sum of its proper divisors (16138807776).

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

4754262240 is a wasteful number, since it uses less digits than its factorization.

4754262240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 4754262240 is about 68951.1583659042. The cubic root of 4754262240 is about 1681.4903441770.

The spelling of 4754262240 in words is "four billion, seven hundred fifty-four million, two hundred sixty-two thousand, two hundred forty".