403684864 has 80 divisors (see below), whose sum is σ = 886572720. Its totient is φ = 182108160.

The previous prime is 403684861. The next prime is 403684877. The reversal of 403684864 is 468486304.

It is a super-2 number, since 2×403684864² = 325922938845396992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 403684864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403684861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1289572 + ... + 1289884.

It is an arithmetic number, because the mean of its divisors is an integer number (11082159).

Almost surely, 2^403684864 is an apocalyptic number.

403684864 is a gapful number since it is divisible by the number (44) 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 403684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443286360).

403684864 is an abundant number, since it is smaller than the sum of its proper divisors (482887856).

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

403684864 is a wasteful number, since it uses less digits than its factorization.

403684864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The square root of 403684864 is about 20091.9104119046. The cubic root of 403684864 is about 739.0619133253.

The spelling of 403684864 in words is "four hundred three million, six hundred eighty-four thousand, eight hundred sixty-four".