23484500 has 48 divisors (see below), whose sum is σ = 55250832. Its totient is φ = 8668800.

The previous prime is 23484481. The next prime is 23484509. The reversal of 23484500 is 548432.

It can be written as a sum of positive squares in 8 ways, for example, as 20106256 + 3378244 = 4484^2 + 1838^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 23484500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23484509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4694 + ... + 8306.

It is an arithmetic number, because the mean of its divisors is an integer number (1151059).

Almost surely, 2^23484500 is an apocalyptic number.

23484500 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 23484500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27625416).

23484500 is an abundant number, since it is smaller than the sum of its proper divisors (31766332).

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

23484500 is a wasteful number, since it uses less digits than its factorization.

23484500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 23484500 is about 4846.0808907817. The cubic root of 23484500 is about 286.3697273799.

The spelling of 23484500 in words is "twenty-three million, four hundred eighty-four thousand, five hundred".