1000414240 has 48 divisors (see below), whose sum is σ = 2701121472. Its totient is φ = 342998784.

The previous prime is 1000414229. The next prime is 1000414243. The reversal of 1000414240 is 424140001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1000414243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445494 + ... + 447733.

It is an arithmetic number, because the mean of its divisors is an integer number (56273364).

Almost surely, 2^1000414240 is an apocalyptic number.

1000414240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000414240 is an abundant number, since it is smaller than the sum of its proper divisors (1700707232).

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

1000414240 is an equidigital number, since it uses as much as digits as its factorization.

1000414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893249 (or 893241 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1000414240 is about 31629.3256330261. The cubic root of 1000414240 is about 1000.1380609383.

Adding to 1000414240 its reverse (424140001), we get a palindrome (1424554241).

The spelling of 1000414240 in words is "one billion, four hundred fourteen thousand, two hundred forty".