403968960 has 336 divisors, whose sum is σ = 1517757696. Its totient is φ = 98205696.

The previous prime is 403968959. The next prime is 403968979. The reversal of 403968960 is 69869304.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1811409 + ... + 1811631.

It is an arithmetic number, because the mean of its divisors is an integer number (4517136).

Almost surely, 2^403968960 is an apocalyptic number.

403968960 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 403968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758878848).

403968960 is an abundant number, since it is smaller than the sum of its proper divisors (1113788736).

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

403968960 is a wasteful number, since it uses less digits than its factorization.

403968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 403968960 is about 20098.9790785502. The cubic root of 403968960 is about 739.2352459722.

The spelling of 403968960 in words is "four hundred three million, nine hundred sixty-eight thousand, nine hundred sixty".