1605262464 has 192 divisors, whose sum is σ = 5110854840. Its totient is φ = 480411648.

The previous prime is 1605262441. The next prime is 1605262493. The reversal of 1605262464 is 4642625061.

1605262464 is a `hidden beast` number, since 1 + 605 + 2 + 6 + 2 + 46 + 4 = 666.

1605262464 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1120910400 + 484352064 = 33480^2 + 22008^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552664 + ... + 555560.

Almost surely, 2^1605262464 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 1605262464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555427420).

1605262464 is an abundant number, since it is smaller than the sum of its proper divisors (3505592376).

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

1605262464 is a wasteful number, since it uses less digits than its factorization.

1605262464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1605262464 is about 40065.7267998473. The cubic root of 1605262464 is about 1170.8879868489.

The spelling of 1605262464 in words is "one billion, six hundred five million, two hundred sixty-two thousand, four hundred sixty-four".