403152768 has 256 divisors, whose sum is σ = 1269043200. Its totient is φ = 125798400.

The previous prime is 403152767. The next prime is 403152769. The reversal of 403152768 is 867251304.

403152768 is a `hidden beast` number, since 40 + 31 + 527 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (403152767) and next prime (403152769).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403152767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5678173 + ... + 5678243.

It is an arithmetic number, because the mean of its divisors is an integer number (4957200).

Almost surely, 2^403152768 is an apocalyptic number.

403152768 is a gapful number since it is divisible by the number (48) 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 403152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634521600).

403152768 is an abundant number, since it is smaller than the sum of its proper divisors (865890432).

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

403152768 is a wasteful number, since it uses less digits than its factorization.

403152768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 403152768 is about 20078.6644974211. The cubic root of 403152768 is about 738.7370520032.

The spelling of 403152768 in words is "four hundred three million, one hundred fifty-two thousand, seven hundred sixty-eight".