2403408480 has 144 divisors (see below), whose sum is σ = 8321754672. Its totient is φ = 582630400.

The previous prime is 2403408463. The next prime is 2403408487. The reversal of 2403408480 is 848043042.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2403408487) 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, 37390 + ... + 78770.

It is an arithmetic number, because the mean of its divisors is an integer number (57789963).

Almost surely, 2^2403408480 is an apocalyptic number.

2403408480 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 2403408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160877336).

2403408480 is an abundant number, since it is smaller than the sum of its proper divisors (5918346192).

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

2403408480 is a wasteful number, since it uses less digits than its factorization.

2403408480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41421 (or 41402 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 2403408480 is about 49024.5701663972. The cubic root of 2403408480 is about 1339.4994194680.

The spelling of 2403408480 in words is "two billion, four hundred three million, four hundred eight thousand, four hundred eighty".