4624242800 has 120 divisors (see below), whose sum is σ = 11749954800. Its totient is φ = 1744035840.

The previous prime is 4624242787. The next prime is 4624242809. The reversal of 4624242800 is 82424264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4624242809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1739072 + ... + 1741728.

It is an arithmetic number, because the mean of its divisors is an integer number (97916290).

Almost surely, 2^4624242800 is an apocalyptic number.

4624242800 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 4624242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874977400).

4624242800 is an abundant number, since it is smaller than the sum of its proper divisors (7125712000).

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

4624242800 is a wasteful number, since it uses less digits than its factorization.

4624242800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 4624242800 is about 68001.7852706824. The cubic root of 4624242800 is about 1666.0199962340.

The spelling of 4624242800 in words is "four billion, six hundred twenty-four million, two hundred forty-two thousand, eight hundred".