1000410420 has 72 divisors (see below), whose sum is σ = 2956401504. Its totient is φ = 252729792.

The previous prime is 1000410413. The next prime is 1000410421. The reversal of 1000410420 is 240140001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000410396 and 1000410405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000410421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1434 + ... + 44753.

It is an arithmetic number, because the mean of its divisors is an integer number (41061132).

Almost surely, 2^1000410420 is an apocalyptic number.

1000410420 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 1000410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478200752).

1000410420 is an abundant number, since it is smaller than the sum of its proper divisors (1955991084).

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

1000410420 is a wasteful number, since it uses less digits than its factorization.

1000410420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46237 (or 46216 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1000410420 is about 31629.2652459712. The cubic root of 1000410420 is about 1000.1367879549.

Adding to 1000410420 its reverse (240140001), we get a palindrome (1240550421).

The spelling of 1000410420 in words is "one billion, four hundred ten thousand, four hundred twenty".