684574464 has 144 divisors (see below), whose sum is σ = 2154539520. Its totient is φ = 188805120.

The previous prime is 684574441. The next prime is 684574469. The reversal of 684574464 is 464475486.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684574469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153709 + ... + 158099.

It is an arithmetic number, because the mean of its divisors is an integer number (14962080).

Almost surely, 2^684574464 is an apocalyptic number.

684574464 is a gapful number since it is divisible by the number (64) 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 684574464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077269760).

684574464 is an abundant number, since it is smaller than the sum of its proper divisors (1469965056).

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

684574464 is a wasteful number, since it uses less digits than its factorization.

684574464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446 (or 4432 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 48.

The square root of 684574464 is about 26164.3739462652. The cubic root of 684574464 is about 881.3334055559. Note that the first 3 decimals are identical.

The spelling of 684574464 in words is "six hundred eighty-four million, five hundred seventy-four thousand, four hundred sixty-four".