1604357440 has 112 divisors (see below), whose sum is σ = 4382243712. Its totient is φ = 548038656.

The previous prime is 1604357383. The next prime is 1604357467. The reversal of 1604357440 is 447534061.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1604357396 and 1604357405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686514 + ... + 688846.

It is an arithmetic number, because the mean of its divisors is an integer number (39127176).

Almost surely, 2^1604357440 is an apocalyptic number.

1604357440 is a gapful number since it is divisible by the number (10) 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 1604357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191121856).

1604357440 is an abundant number, since it is smaller than the sum of its proper divisors (2777886272).

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

1604357440 is a wasteful number, since it uses less digits than its factorization.

1604357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 1604357440 is about 40054.4309658744. The cubic root of 1604357440 is about 1170.6679021878.

The spelling of 1604357440 in words is "one billion, six hundred four million, three hundred fifty-seven thousand, four hundred forty".