4632946240 has 112 divisors (see below), whose sum is σ = 12105577008. Its totient is φ = 1678270464.

The previous prime is 4632946237. The next prime is 4632946277. The reversal of 4632946240 is 426492364.

It can be written as a sum of positive squares in 8 ways, for example, as 1223320576 + 3409625664 = 34976^2 + 58392^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4632946193 and 4632946202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209974 + ... + 230986.

It is an arithmetic number, because the mean of its divisors is an integer number (108085509).

Almost surely, 2^4632946240 is an apocalyptic number.

4632946240 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 4632946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6052788504).

4632946240 is an abundant number, since it is smaller than the sum of its proper divisors (7472630768).

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

4632946240 is a wasteful number, since it uses less digits than its factorization.

4632946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21096 (or 21086 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The square root of 4632946240 is about 68065.7493898363. The cubic root of 4632946240 is about 1667.0645649097.

The spelling of 4632946240 in words is "four billion, six hundred thirty-two million, nine hundred forty-six thousand, two hundred forty".