403829064 has 96 divisors (see below), whose sum is σ = 1170973440. Its totient is φ = 130248000.

The previous prime is 403829047. The next prime is 403829081. The reversal of 403829064 is 460928304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (403829047) and next prime (403829081).

It is a super-2 number, since 2×403829064² = 326155825862232192, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56914 + ... + 63614.

It is an arithmetic number, because the mean of its divisors is an integer number (12197640).

Almost surely, 2^403829064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403829064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585486720).

403829064 is an abundant number, since it is smaller than the sum of its proper divisors (767144376).

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

403829064 is a wasteful number, since it uses less digits than its factorization.

403829064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 403829064 is about 20095.4986004329. The cubic root of 403829064 is about 739.1499027864.

The spelling of 403829064 in words is "four hundred three million, eight hundred twenty-nine thousand, sixty-four".