403967160 has 48 divisors (see below), whose sum is σ = 1312894440. Its totient is φ = 107724480.

The previous prime is 403967153. The next prime is 403967167. The reversal of 403967160 is 61769304.

403967160 is a `hidden beast` number, since 403 + 96 + 7 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (403967153) and next prime (403967167).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403967167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560706 + ... + 561425.

Almost surely, 2^403967160 is an apocalyptic number.

403967160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

403967160 is an abundant number, since it is smaller than the sum of its proper divisors (908927280).

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

403967160 is a wasteful number, since it uses less digits than its factorization.

403967160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122148 (or 1122141 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 403967160 is about 20098.9343001066. The cubic root of 403967160 is about 739.2341480121.

The spelling of 403967160 in words is "four hundred three million, nine hundred sixty-seven thousand, one hundred sixty".