403113800 has 48 divisors (see below), whose sum is σ = 939785460. Its totient is φ = 160807680.

The previous prime is 403113797. The next prime is 403113857. The reversal of 403113800 is 8311304.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 299359204 + 103754596 = 17302^2 + 10186^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 76862 + ... + 81938.

Almost surely, 2^403113800 is an apocalyptic number.

403113800 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 403113800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469892730).

403113800 is an abundant number, since it is smaller than the sum of its proper divisors (536671660).

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

403113800 is a wasteful number, since it uses less digits than its factorization.

403113800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 403113800 is about 20077.6940907067. The cubic root of 403113800 is about 738.7132495845.

The spelling of 403113800 in words is "four hundred three million, one hundred thirteen thousand, eight hundred".