431004672 has 352 divisors, whose sum is σ = 1556375040. Its totient is φ = 115015680.

The previous prime is 431004671. The next prime is 431004697. The reversal of 431004672 is 276400134.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431004671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3290047 + ... + 3290177.

It is an arithmetic number, because the mean of its divisors is an integer number (4421520).

Almost surely, 2^431004672 is an apocalyptic number.

431004672 is a gapful number since it is divisible by the number (42) 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 431004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778187520).

431004672 is an abundant number, since it is smaller than the sum of its proper divisors (1125370368).

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

431004672 is a wasteful number, since it uses less digits than its factorization.

431004672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 431004672 is about 20760.6520128824. The cubic root of 431004672 is about 755.3716118665.

The spelling of 431004672 in words is "four hundred thirty-one million, four thousand, six hundred seventy-two".