684769410 has 192 divisors, whose sum is σ = 2029104000. Its totient is φ = 164166912.

The previous prime is 684769387. The next prime is 684769411. The reversal of 684769410 is 14967486.

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

It is not an unprimeable number, because it can be changed into a prime (684769411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1961916 + ... + 1962264.

It is an arithmetic number, because the mean of its divisors is an integer number (10568250).

Almost surely, 2^684769410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684769410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014552000).

684769410 is an abundant number, since it is smaller than the sum of its proper divisors (1344334590).

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

684769410 is a wasteful number, since it uses less digits than its factorization.

684769410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 684769410 is about 26168.0990903046. The cubic root of 684769410 is about 881.4170566047.

The spelling of 684769410 in words is "six hundred eighty-four million, seven hundred sixty-nine thousand, four hundred ten".