2409463900 has 72 divisors (see below), whose sum is σ = 5473399680. Its totient is φ = 918920640.

The previous prime is 2409463843. The next prime is 2409463909. The reversal of 2409463900 is 93649042.

It is a self number, because there is not a number n which added to its sum of digits gives 2409463900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409463909) 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, 796591 + ... + 799609.

It is an arithmetic number, because the mean of its divisors is an integer number (76019440).

Almost surely, 2^2409463900 is an apocalyptic number.

2409463900 is a gapful number since it is divisible by the number (20) 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 2409463900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736699840).

2409463900 is an abundant number, since it is smaller than the sum of its proper divisors (3063935780).

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

2409463900 is a wasteful number, since it uses less digits than its factorization.

2409463900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 2409463900 is about 49086.2903466946. The cubic root of 2409463900 is about 1340.6234382719.

The spelling of 2409463900 in words is "two billion, four hundred nine million, four hundred sixty-three thousand, nine hundred".