405431488 has 224 divisors, whose sum is σ = 1082649600. Its totient is φ = 149022720.

The previous prime is 405431479. The next prime is 405431491. The reversal of 405431488 is 884134504.

It is a tau number, because it is divible by the number of its divisors (224).

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, 5553820 + ... + 5553892.

Almost surely, 2^405431488 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 405431488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541324800).

405431488 is an abundant number, since it is smaller than the sum of its proper divisors (677218112).

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

405431488 is a wasteful number, since it uses less digits than its factorization.

405431488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 405431488 is about 20135.3293491813. The cubic root of 405431488 is about 740.1262798859.

The spelling of 405431488 in words is "four hundred five million, four hundred thirty-one thousand, four hundred eighty-eight".