690480000 has 480 divisors, whose sum is σ = 2858272560. Its totient is φ = 156672000.

The previous prime is 690479989. The next prime is 690480001. The reversal of 690480000 is 84096.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690480001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5039932 + ... + 5040068.

Almost surely, 2^690480000 is an apocalyptic number.

690480000 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 690480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429136280).

690480000 is an abundant number, since it is smaller than the sum of its proper divisors (2167792560).

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

690480000 is a wasteful number, since it uses less digits than its factorization.

690480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 690480000 is about 26276.9861285498. The cubic root of 690480000 is about 883.8604503889.

It can be divided in two parts, 690 and 480000, that added together give a triangular number (480690 = T₉₈₀).

The spelling of 690480000 in words is "six hundred ninety million, four hundred eighty thousand".