431906904 has 320 divisors, whose sum is σ = 1463616000. Its totient is φ = 117262080.

The previous prime is 431906899. The next prime is 431906929. The reversal of 431906904 is 409609134.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5467137 + ... + 5467215.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2^431906904 is an apocalyptic number.

431906904 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 431906904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731808000).

431906904 is an abundant number, since it is smaller than the sum of its proper divisors (1031709096).

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

431906904 is a wasteful number, since it uses less digits than its factorization.

431906904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 431906904 is about 20782.3700284640. The cubic root of 431906904 is about 755.8983234385.

The spelling of 431906904 in words is "four hundred thirty-one million, nine hundred six thousand, nine hundred four".