431406045 has 72 divisors (see below), whose sum is σ = 879258744. Its totient is φ = 195084288.

The previous prime is 431406023. The next prime is 431406067. The reversal of 431406045 is 540604134.

431406045 is a `hidden beast` number, since 43 + 14 + 0 + 604 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (431406023) and next prime (431406067).

It can be written as a sum of positive squares in 4 ways, for example, as 94536729 + 336869316 = 9723^2 + 18354^2 .

It is not a de Polignac number, because 431406045 - 2⁶ = 431405981 is a prime.

It is a super-2 number, since 2×431406045² = 372222351325084050, 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 71 ways as a sum of consecutive naturals, for example, 212877 + ... + 214893.

It is an arithmetic number, because the mean of its divisors is an integer number (12211927).

Almost surely, 2^431406045 is an apocalyptic number.

431406045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

431406045 is an abundant number, since it is smaller than the sum of its proper divisors (447852699).

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

431406045 is a wasteful number, since it uses less digits than its factorization.

431406045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 431406045 is about 20770.3164395731. The cubic root of 431406045 is about 755.6060189967.

The spelling of 431406045 in words is "four hundred thirty-one million, four hundred six thousand, forty-five".