23413000 has 64 divisors (see below), whose sum is σ = 59033520. Its totient is φ = 8640000.

The previous prime is 23412973. The next prime is 23413001. The reversal of 23413000 is 31432.

It can be written as a sum of positive squares in 8 ways, for example, as 1153476 + 22259524 = 1074^2 + 4718^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (23413001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12100 + ... + 13900.

Almost surely, 2^23413000 is an apocalyptic number.

23413000 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 23413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29516760).

23413000 is an abundant number, since it is smaller than the sum of its proper divisors (35620520).

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

23413000 is a wasteful number, since it uses less digits than its factorization.

23413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 23413000 is about 4838.6981720293. The cubic root of 23413000 is about 286.0788085426.

Adding to 23413000 its reverse (31432), we get a palindrome (23444432).

The spelling of 23413000 in words is "twenty-three million, four hundred thirteen thousand".