684450480 has 160 divisors (see below), whose sum is σ = 2470984704. Its totient is φ = 153474048.

The previous prime is 684450469. The next prime is 684450511. The reversal of 684450480 is 84054486.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85197 + ... + 92883.

Almost surely, 2^684450480 is an apocalyptic number.

684450480 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 684450480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235492352).

684450480 is an abundant number, since it is smaller than the sum of its proper divisors (1786534224).

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

684450480 is a wasteful number, since it uses less digits than its factorization.

684450480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7763 (or 7757 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 684450480 is about 26162.0045103581. The cubic root of 684450480 is about 881.2801959373.

The spelling of 684450480 in words is "six hundred eighty-four million, four hundred fifty thousand, four hundred eighty".