2403164400 has 480 divisors, whose sum is σ = 9661048320. Its totient is φ = 497111040.

The previous prime is 2403164389. The next prime is 2403164411. The reversal of 2403164400 is 44613042.

2403164400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2403164389) and next prime (2403164411).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6442614 + ... + 6442986.

It is an arithmetic number, because the mean of its divisors is an integer number (20127184).

Almost surely, 2^2403164400 is an apocalyptic number.

2403164400 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 2403164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830524160).

2403164400 is an abundant number, since it is smaller than the sum of its proper divisors (7257883920).

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

2403164400 is a wasteful number, since it uses less digits than its factorization.

2403164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2403164400 is about 49022.0807391934. The cubic root of 2403164400 is about 1339.4540733011.

Adding to 2403164400 its reverse (44613042), we get a palindrome (2447777442).

The spelling of 2403164400 in words is "two billion, four hundred three million, one hundred sixty-four thousand, four hundred".