1617204456 has 192 divisors, whose sum is σ = 5296636800. Its totient is φ = 435456000.

The previous prime is 1617204427. The next prime is 1617204481. The reversal of 1617204456 is 6544027161.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1617204456.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2690556 + ... + 2691156.

It is an arithmetic number, because the mean of its divisors is an integer number (27586650).

Almost surely, 2^1617204456 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 1617204456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648318400).

1617204456 is an abundant number, since it is smaller than the sum of its proper divisors (3679432344).

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

1617204456 is a wasteful number, since it uses less digits than its factorization.

1617204456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1617204456 is about 40214.4806754980. The cubic root of 1617204456 is about 1173.7843364220.

It can be divided in two parts, 161720 and 4456, that added together give a triangular number (166176 = T₅₇₆).

The spelling of 1617204456 in words is "one billion, six hundred seventeen million, two hundred four thousand, four hundred fifty-six".