24872900 has 108 divisors (see below), whose sum is σ = 62503812. Its totient is φ = 8536320.

The previous prime is 24872893. The next prime is 24872909. The reversal of 24872900 is 927842.

It can be written as a sum of positive squares in 6 ways, for example, as 1214404 + 23658496 = 1102^2 + 4864^2 .

It is a super-2 number, since 2×24872900² = 1237322308820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24872909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 469274 + ... + 469326.

It is an arithmetic number, because the mean of its divisors is an integer number (578739).

Almost surely, 2^24872900 is an apocalyptic number.

24872900 is a gapful number since it is divisible by the number (20) 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 24872900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31251906).

24872900 is an abundant number, since it is smaller than the sum of its proper divisors (37630912).

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

24872900 is a wasteful number, since it uses less digits than its factorization.

24872900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 24872900 is about 4987.2738043945. The cubic root of 24872900 is about 291.9054081548.

The spelling of 24872900 in words is "twenty-four million, eight hundred seventy-two thousand, nine hundred".