431411904 has 336 divisors, whose sum is σ = 1574816256. Its totient is φ = 109670400.

The previous prime is 431411887. The next prime is 431411921. The reversal of 431411904 is 409114134.

431411904 is a `hidden beast` number, since 431 + 41 + 190 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (431411887) and next prime (431411921).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×431411904² = 372232461825810432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3148924 + ... + 3149060.

Almost surely, 2^431411904 is an apocalyptic number.

431411904 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 431411904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787408128).

431411904 is an abundant number, since it is smaller than the sum of its proper divisors (1143404352).

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

431411904 is a wasteful number, since it uses less digits than its factorization.

431411904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 431411904 is about 20770.4574817215. The cubic root of 431411904 is about 755.6094396531.

The spelling of 431411904 in words is "four hundred thirty-one million, four hundred eleven thousand, nine hundred four".