1617880400 has 120 divisors (see below), whose sum is σ = 4116462720. Its totient is φ = 609361920.

The previous prime is 1617880379. The next prime is 1617880403. The reversal of 1617880400 is 40887161.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1617880403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1466249 + ... + 1467351.

It is an arithmetic number, because the mean of its divisors is an integer number (34303856).

Almost surely, 2^1617880400 is an apocalyptic number.

1617880400 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 1617880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058231360).

1617880400 is an abundant number, since it is smaller than the sum of its proper divisors (2498582320).

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

1617880400 is a wasteful number, since it uses less digits than its factorization.

1617880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 1617880400 is about 40222.8840338432. The cubic root of 1617880400 is about 1173.9478494441.

The spelling of 1617880400 in words is "one billion, six hundred seventeen million, eight hundred eighty thousand, four hundred".