10419408 has 80 divisors (see below), whose sum is σ = 30355200. Its totient is φ = 3421440.

The previous prime is 10419407. The next prime is 10419427. The reversal of 10419408 is 80491401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10419401) 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, 38313 + ... + 38583.

It is an arithmetic number, because the mean of its divisors is an integer number (379440).

Almost surely, 2^10419408 is an apocalyptic number.

10419408 is a gapful number since it is divisible by the number (18) 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 10419408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177600).

10419408 is an abundant number, since it is smaller than the sum of its proper divisors (19935792).

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

10419408 is a wasteful number, since it uses less digits than its factorization.

10419408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10419408 is about 3227.9107794361. The cubic root of 10419408 is about 218.4142727057.

The spelling of 10419408 in words is "ten million, four hundred nineteen thousand, four hundred eight".