1000414320 has 80 divisors (see below), whose sum is σ = 3104518560. Its totient is φ = 266499072.

The previous prime is 1000414313. The next prime is 1000414321. The reversal of 1000414320 is 234140001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1000414320² = 2001657623322124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1000414320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000414321) 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, 341502 + ... + 344418.

It is an arithmetic number, because the mean of its divisors is an integer number (38806482).

Almost surely, 2^1000414320 is an apocalyptic number.

1000414320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000414320 is an abundant number, since it is smaller than the sum of its proper divisors (2104104240).

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

1000414320 is a wasteful number, since it uses less digits than its factorization.

1000414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1000414320 is about 31629.3268976752. The cubic root of 1000414320 is about 1000.1380875976.

Adding to 1000414320 its reverse (234140001), we get a palindrome (1234554321).

The spelling of 1000414320 in words is "one billion, four hundred fourteen thousand, three hundred twenty".