403402400 has 72 divisors (see below), whose sum is σ = 988741404. Its totient is φ = 160716800.

The previous prime is 403402387. The next prime is 403402409. The reversal of 403402400 is 4204304.

It can be written as a sum of positive squares in 6 ways, for example, as 301230736 + 102171664 = 17356^2 + 10108^2 .

It is not an unprimeable number, because it can be changed into a prime (403402409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233540 + ... + 235260.

Almost surely, 2^403402400 is an apocalyptic number.

403402400 is a gapful number since it is divisible by the number (40) 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 403402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494370702).

403402400 is an abundant number, since it is smaller than the sum of its proper divisors (585339004).

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

403402400 is a wasteful number, since it uses less digits than its factorization.

403402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 403402400 is about 20084.8798851275. The cubic root of 403402400 is about 738.8894957523.

Adding to 403402400 its reverse (4204304), we get a palindrome (407606704).

The spelling of 403402400 in words is "four hundred three million, four hundred two thousand, four hundred".