677492352 has 192 divisors, whose sum is σ = 2052011520. Its totient is φ = 214272000.

The previous prime is 677492327. The next prime is 677492359. The reversal of 677492352 is 253294776.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 677492298 and 677492307.

It is not an unprimeable number, because it can be changed into a prime (677492359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2178277 + ... + 2178587.

It is an arithmetic number, because the mean of its divisors is an integer number (10687560).

Almost surely, 2^677492352 is an apocalyptic number.

677492352 is a gapful number since it is divisible by the number (62) 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 677492352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026005760).

677492352 is an abundant number, since it is smaller than the sum of its proper divisors (1374519168).

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

677492352 is a wasteful number, since it uses less digits than its factorization.

677492352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 408 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 677492352 is about 26028.6832552091. The cubic root of 677492352 is about 878.2836518637.

The spelling of 677492352 in words is "six hundred seventy-seven million, four hundred ninety-two thousand, three hundred fifty-two".