403616052 has 144 divisors (see below), whose sum is σ = 1232824320. Its totient is φ = 108846144.

The previous prime is 403616021. The next prime is 403616053. The reversal of 403616052 is 250616304.

403616052 is a `hidden beast` number, since 40 + 3 + 616 + 0 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403616053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480649 + ... + 481487.

It is an arithmetic number, because the mean of its divisors is an integer number (8561280).

Almost surely, 2^403616052 is an apocalyptic number.

403616052 is a gapful number since it is divisible by the number (42) 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 403616052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616412160).

403616052 is an abundant number, since it is smaller than the sum of its proper divisors (829208268).

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

403616052 is a wasteful number, since it uses less digits than its factorization.

403616052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 403616052 is about 20090.1979084329. The cubic root of 403616052 is about 739.0199175155.

The spelling of 403616052 in words is "four hundred three million, six hundred sixteen thousand, fifty-two".