2400480 has 72 divisors (see below), whose sum is σ = 8196552. Its totient is φ = 639744.

The previous prime is 2400473. The next prime is 2400481. The reversal of 2400480 is 840042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 607 + ... + 2273.

It is an arithmetic number, because the mean of its divisors is an integer number (113841).

2^2400480 is an apocalyptic number.

2400480 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 2400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098276).

2400480 is an abundant number, since it is smaller than the sum of its proper divisors (5796072).

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

2400480 is a wasteful number, since it uses less digits than its factorization.

2400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2400480 is about 1549.3482500716. The cubic root of 2400480 is about 133.8955151941.

The spelling of 2400480 in words is "two million, four hundred thousand, four hundred eighty".