680462400 has 336 divisors, whose sum is σ = 2449128960. Its totient is φ = 164659200.

The previous prime is 680462359. The next prime is 680462443. The reversal of 680462400 is 4264086.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2529466 + ... + 2529734.

Almost surely, 2^680462400 is an apocalyptic number.

680462400 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 680462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224564480).

680462400 is an abundant number, since it is smaller than the sum of its proper divisors (1768666560).

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

680462400 is a wasteful number, since it uses less digits than its factorization.

680462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 680462400 is about 26085.6742293543. The cubic root of 680462400 is about 879.5652122140.

It can be divided in two parts, 680 and 462400, that multiplied together give a cube (314432000 = 680³).

The spelling of 680462400 in words is "six hundred eighty million, four hundred sixty-two thousand, four hundred".