1002400840 has 96 divisors (see below), whose sum is σ = 2644945920. Its totient is φ = 340889472.

The previous prime is 1002400831. The next prime is 1002400843. The reversal of 1002400840 is 480042001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002400843) 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, 246907 + ... + 250933.

It is an arithmetic number, because the mean of its divisors is an integer number (27551520).

Almost surely, 2^1002400840 is an apocalyptic number.

1002400840 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 1002400840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322472960).

1002400840 is an abundant number, since it is smaller than the sum of its proper divisors (1642545080).

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

1002400840 is a wasteful number, since it uses less digits than its factorization.

1002400840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1002400840 is about 31660.7144581420. The cubic root of 1002400840 is about 1000.7996404048.

Adding to 1002400840 its reverse (480042001), we get a palindrome (1482442841).

The spelling of 1002400840 in words is "one billion, two million, four hundred thousand, eight hundred forty".