403240000 has 140 divisors (see below), whose sum is σ = 1060507404. Its totient is φ = 151552000.

The previous prime is 403239997. The next prime is 403240007. The reversal of 403240000 is 42304.

It can be written as a sum of positive squares in 10 ways, for example, as 232989696 + 170250304 = 15264^2 + 13048^2 .

It is not an unprimeable number, because it can be changed into a prime (403240007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 679704 + ... + 680296.

Almost surely, 2^403240000 is an apocalyptic number.

403240000 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 403240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530253702).

403240000 is an abundant number, since it is smaller than the sum of its proper divisors (657267404).

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

403240000 is an equidigital number, since it uses as much as digits as its factorization.

403240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 403240000 is about 20080.8366359572. The cubic root of 403240000 is about 738.7903294606.

Adding to 403240000 its reverse (42304), we get a palindrome (403282304).

The spelling of 403240000 in words is "four hundred three million, two hundred forty thousand".