1825413408 has 480 divisors, whose sum is σ = 6761905920. Its totient is φ = 470292480.

The previous prime is 1825413383. The next prime is 1825413431. The reversal of 1825413408 is 8043145281.

1825413408 is a `hidden beast` number, since 1 + 82 + 541 + 34 + 0 + 8 = 666.

It is a super-2 number, since 2×1825413408² = 6664268220212348928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16746858 + ... + 16746966.

It is an arithmetic number, because the mean of its divisors is an integer number (14087304).

Almost surely, 2^1825413408 is an apocalyptic number.

1825413408 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 1825413408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380952960).

1825413408 is an abundant number, since it is smaller than the sum of its proper divisors (4936492512).

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

1825413408 is a wasteful number, since it uses less digits than its factorization.

1825413408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1825413408 is about 42724.8570272622. The cubic root of 1825413408 is about 1222.1384620996.

Adding to 1825413408 its reverse (8043145281), we get a palindrome (9868558689).

The spelling of 1825413408 in words is "one billion, eight hundred twenty-five million, four hundred thirteen thousand, four hundred eight".