677455488 has 240 divisors, whose sum is σ = 2139547410. Its totient is φ = 212751360.

The previous prime is 677455483. The next prime is 677455529. The reversal of 677455488 is 884554776.

677455488 is a `hidden beast` number, since 6 + 7 + 7 + 4 + 554 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 675584064 + 1871424 = 25992^2 + 1368^2 .

It is a super-3 number, since 3×677455488³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7526400) is a multiple of the sum of its prime factors (245).

It is not an unprimeable number, because it can be changed into a prime (677455481) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3742758 + ... + 3742938.

Almost surely, 2^677455488 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 677455488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069773705).

677455488 is an abundant number, since it is smaller than the sum of its proper divisors (1462091922).

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

677455488 is a wasteful number, since it uses less digits than its factorization.

677455488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 205 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The square root of 677455488 is about 26027.9751037225. The cubic root of 677455488 is about 878.2677217277.

The spelling of 677455488 in words is "six hundred seventy-seven million, four hundred fifty-five thousand, four hundred eighty-eight".