687488400 has 405 divisors, whose sum is σ = 2632187649. Its totient is φ = 166129920.

The previous prime is 687488383. The next prime is 687488437. The reversal of 687488400 is 4884786.

The square root of 687488400 is 26220.

It is a perfect power (a square), and thus also a powerful number.

687488400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 247495824 + 439992576 = 15732^2 + 20976^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29890789 + ... + 29890811.

Almost surely, 2^687488400 is an apocalyptic number.

687488400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

687488400 is the 26220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687488400

687488400 is an abundant number, since it is smaller than the sum of its proper divisors (1944699249).

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

687488400 is a wasteful number, since it uses less digits than its factorization.

687488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The cubic root of 687488400 is about 882.5821199199.

The spelling of 687488400 in words is "six hundred eighty-seven million, four hundred eighty-eight thousand, four hundred".