431266560 has 288 divisors, whose sum is σ = 1518773760. Its totient is φ = 103809024.

The previous prime is 431266531. The next prime is 431266573. The reversal of 431266560 is 65662134.

431266560 = T₈₈ + T₈₉ + ... + T₁₃₇₂.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1677952 + ... + 1678208.

It is an arithmetic number, because the mean of its divisors is an integer number (5273520).

Almost surely, 2^431266560 is an apocalyptic number.

431266560 is a gapful number since it is divisible by the number (40) 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 431266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759386880).

431266560 is an abundant number, since it is smaller than the sum of its proper divisors (1087507200).

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

431266560 is a wasteful number, since it uses less digits than its factorization.

431266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 431266560 is about 20766.9583714130. The cubic root of 431266560 is about 755.5245744057.

The spelling of 431266560 in words is "four hundred thirty-one million, two hundred sixty-six thousand, five hundred sixty".