431412576 has 96 divisors (see below), whose sum is σ = 1299691008. Its totient is φ = 122741760.

The previous prime is 431412481. The next prime is 431412581. The reversal of 431412576 is 675214134.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×431412576² = 372233621461911552, 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 15 ways as a sum of consecutive naturals, for example, 175516 + ... + 177956.

It is an arithmetic number, because the mean of its divisors is an integer number (13538448).

Almost surely, 2^431412576 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 431412576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649845504).

431412576 is an abundant number, since it is smaller than the sum of its proper divisors (868278432).

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

431412576 is a wasteful number, since it uses less digits than its factorization.

431412576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2716 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 431412576 is about 20770.4736585375. The cubic root of 431412576 is about 755.6098319845.

The spelling of 431412576 in words is "four hundred thirty-one million, four hundred twelve thousand, five hundred seventy-six".