403828304 has 30 divisors (see below), whose sum is σ = 860016570. Its totient is φ = 183557440.

The previous prime is 403828301. The next prime is 403828307.

403828304 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (403828301) and next prime (403828307).

It can be written as a sum of positive squares in only one way, i.e., 378224704 + 25603600 = 19448^2 + 5060^2 .

It is a super-2 number, since 2×403828304² = 326154598223032832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403828301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102359 + ... + 106230.

It is an arithmetic number, because the mean of its divisors is an integer number (28667219).

Almost surely, 2^403828304 is an apocalyptic number.

403828304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

403828304 is an abundant number, since it is smaller than the sum of its proper divisors (456188266).

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

403828304 is a wasteful number, since it uses less digits than its factorization.

403828304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208619 (or 208602 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 403828304 is about 20095.4796907165. The cubic root of 403828304 is about 739.1494390965.

The spelling of 403828304 in words is "four hundred three million, eight hundred twenty-eight thousand, three hundred four".