403952640 has 528 divisors, whose sum is σ = 1689217152. Its totient is φ = 80216064.

The previous prime is 403952603. The next prime is 403952641. The reversal of 403952640 is 46259304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403952641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23761912 + ... + 23761928.

Almost surely, 2^403952640 is an apocalyptic number.

403952640 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 403952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844608576).

403952640 is an abundant number, since it is smaller than the sum of its proper divisors (1285264512).

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

403952640 is a wasteful number, since it uses less digits than its factorization.

403952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 403952640 is about 20098.5730836793. The cubic root of 403952640 is about 739.2252910145.

The spelling of 403952640 in words is "four hundred three million, nine hundred fifty-two thousand, six hundred forty".