403254400 has 96 divisors (see below), whose sum is σ = 1039665600. Its totient is φ = 154260480.

The previous prime is 403254277. The next prime is 403254413. The reversal of 403254400 is 4452304.

It is a happy number.

It is a super-2 number, since 2×403254400² = 325228222238720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70861 + ... + 76339.

It is an arithmetic number, because the mean of its divisors is an integer number (10829850).

Almost surely, 2^403254400 is an apocalyptic number.

403254400 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 403254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519832800).

403254400 is an abundant number, since it is smaller than the sum of its proper divisors (636411200).

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

403254400 is a wasteful number, since it uses less digits than its factorization.

403254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5526 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 403254400 is about 20081.1951835542. The cubic root of 403254400 is about 738.7991236064.

The spelling of 403254400 in words is "four hundred three million, two hundred fifty-four thousand, four hundred".