10413000 has 192 divisors, whose sum is σ = 38329200. Its totient is φ = 2534400.

The previous prime is 10412989. The next prime is 10413023. The reversal of 10413000 is 31401.

It can be written as a sum of positive squares in 8 ways, for example, as 338724 + 10074276 = 582^2 + 3174^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116956 + ... + 117044.

Almost surely, 2^10413000 is an apocalyptic number.

10413000 is a gapful number since it is divisible by the number (10) 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 10413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19164600).

10413000 is an abundant number, since it is smaller than the sum of its proper divisors (27916200).

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

10413000 is a wasteful number, since it uses less digits than its factorization.

10413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10413000 is about 3226.9180342860. The cubic root of 10413000 is about 218.3694881499.

Adding to 10413000 its reverse (31401), we get a palindrome (10444401).

The spelling of 10413000 in words is "ten million, four hundred thirteen thousand".