403791360 has 480 divisors, whose sum is σ = 1595388960. Its totient is φ = 86704128.

The previous prime is 403791359. The next prime is 403791407. The reversal of 403791360 is 63197304.

It is a tau number, because it is divible by the number of its divisors (480).

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, 10913262 + ... + 10913298.

It is an arithmetic number, because the mean of its divisors is an integer number (3323727).

Almost surely, 2^403791360 is an apocalyptic number.

403791360 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 403791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797694480).

403791360 is an abundant number, since it is smaller than the sum of its proper divisors (1191597600).

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

403791360 is a wasteful number, since it uses less digits than its factorization.

403791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 403791360 is about 20094.5604579946. The cubic root of 403791360 is about 739.1268981888.

The spelling of 403791360 in words is "four hundred three million, seven hundred ninety-one thousand, three hundred sixty".