617474880 has 448 divisors, whose sum is σ = 2435961600. Its totient is φ = 145981440.

The previous prime is 617474849. The next prime is 617474917. The reversal of 617474880 is 88474716.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6937876 + ... + 6937964.

Almost surely, 2^617474880 is an apocalyptic number.

617474880 is a gapful number since it is divisible by the number (60) 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 617474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217980800).

617474880 is an abundant number, since it is smaller than the sum of its proper divisors (1818486720).

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

617474880 is a wasteful number, since it uses less digits than its factorization.

617474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 617474880 is about 24849.0418326341. The cubic root of 617474880 is about 851.5427024245.

The spelling of 617474880 in words is "six hundred seventeen million, four hundred seventy-four thousand, eight hundred eighty".