403434880 has 64 divisors (see below), whose sum is σ = 966898800. Its totient is φ = 160966656.

The previous prime is 403434839. The next prime is 403434917. The reversal of 403434880 is 88434304.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×403434880² = 325519404801228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472534 + ... + 473386.

Almost surely, 2^403434880 is an apocalyptic number.

403434880 is a gapful number since it is divisible by the number (40) 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 403434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483449400).

403434880 is an abundant number, since it is smaller than the sum of its proper divisors (563463920).

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

403434880 is an equidigital number, since it uses as much as digits as its factorization.

403434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 403434880 is about 20085.6884372929. The cubic root of 403434880 is about 738.9093258167.

The spelling of 403434880 in words is "four hundred three million, four hundred thirty-four thousand, eight hundred eighty".