431401146 has 128 divisors (see below), whose sum is σ = 1048412160. Its totient is φ = 116812800.

The previous prime is 431401123. The next prime is 431401169. The reversal of 431401146 is 641104134.

It is an interprime number because it is at equal distance from previous prime (431401123) and next prime (431401169).

It is a super-2 number, since 2×431401146² = 372213897540226632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2747700 + ... + 2747856.

It is an arithmetic number, because the mean of its divisors is an integer number (8190720).

Almost surely, 2^431401146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431401146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524206080).

431401146 is an abundant number, since it is smaller than the sum of its proper divisors (617011014).

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

431401146 is a wasteful number, since it uses less digits than its factorization.

431401146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 431401146 is about 20770.1985065141. The cubic root of 431401146 is about 755.6031587927.

The spelling of 431401146 in words is "four hundred thirty-one million, four hundred one thousand, one hundred forty-six".