4706508240 has 800 divisors, whose sum is σ = 20280606720. Its totient is φ = 987614208.

The previous prime is 4706508227. The next prime is 4706508241. The reversal of 4706508240 is 428056074.

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 = 4706508195 and 4706508204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4706508241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37059057 + ... + 37059183.

Almost surely, 2^4706508240 is an apocalyptic number.

4706508240 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 4706508240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10140303360).

4706508240 is an abundant number, since it is smaller than the sum of its proper divisors (15574098480).

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

4706508240 is a wasteful number, since it uses less digits than its factorization.

4706508240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4706508240 is about 68603.9958019939. The cubic root of 4706508240 is about 1675.8415006857.

The spelling of 4706508240 in words is "four billion, seven hundred six million, five hundred eight thousand, two hundred forty".