4624231248 has 640 divisors, whose sum is σ = 17732198400. Its totient is φ = 1119744000.

The previous prime is 4624231243. The next prime is 4624231277. The reversal of 4624231248 is 8421324264.

4624231248 is a `hidden beast` number, since 4 + 624 + 2 + 3 + 1 + 24 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4624231243) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30623973 + ... + 30624123.

It is an arithmetic number, because the mean of its divisors is an integer number (27706560).

Almost surely, 2^4624231248 is an apocalyptic number.

4624231248 is a gapful number since it is divisible by the number (48) 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 4624231248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8866099200).

4624231248 is an abundant number, since it is smaller than the sum of its proper divisors (13107967152).

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

4624231248 is a wasteful number, since it uses less digits than its factorization.

4624231248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 4624231248 is about 68001.7003316829. The cubic root of 4624231248 is about 1666.0186089165.

The spelling of 4624231248 in words is "four billion, six hundred twenty-four million, two hundred thirty-one thousand, two hundred forty-eight".