403376960 has 224 divisors, whose sum is σ = 1171212288. Its totient is φ = 129392640.

The previous prime is 403376959. The next prime is 403376971. The reversal of 403376960 is 69673304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2569202 + ... + 2569358.

Almost surely, 2^403376960 is an apocalyptic number.

403376960 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 403376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585606144).

403376960 is an abundant number, since it is smaller than the sum of its proper divisors (767835328).

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

403376960 is a wasteful number, since it uses less digits than its factorization.

403376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 38.

The square root of 403376960 is about 20084.2465629159. The cubic root of 403376960 is about 738.8739630865.

The spelling of 403376960 in words is "four hundred three million, three hundred seventy-six thousand, nine hundred sixty".