23409000 has 240 divisors, whose sum is σ = 86923980. Its totient is φ = 5875200.

The previous prime is 23408989. The next prime is 23409011. The reversal of 23409000 is 90432.

23409000 = 27³ + 28³ + ... + 98³.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (23408989) and next prime (23409011).

It can be written as a sum of positive squares in 6 ways, for example, as 4901796 + 18507204 = 2214^2 + 4302^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1376992 + ... + 1377008.

Almost surely, 2^23409000 is an apocalyptic number.

23409000 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 23409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43461990).

23409000 is an abundant number, since it is smaller than the sum of its proper divisors (63514980).

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

23409000 is a wasteful number, since it uses less digits than its factorization.

23409000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23409000 is about 4838.2848200576. The cubic root of 23409000 is about 286.0625158789.

Adding to 23409000 its reverse (90432), we get a palindrome (23499432).

The spelling of 23409000 in words is "twenty-three million, four hundred nine thousand".