2408400 has 120 divisors (see below), whose sum is σ = 8610560. Its totient is φ = 639360.

The previous prime is 2408389. The next prime is 2408431. The reversal of 2408400 is 48042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10689 + ... + 10911.

2^2408400 is an apocalyptic number.

2408400 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 2408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305280).

2408400 is an abundant number, since it is smaller than the sum of its proper divisors (6202160).

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

2408400 is a wasteful number, since it uses less digits than its factorization.

2408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

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

The square root of 2408400 is about 1551.9020587653. The cubic root of 2408400 is about 134.0426091571.

The spelling of 2408400 in words is "two million, four hundred eight thousand, four hundred".