690152400 has 600 divisors, whose sum is σ = 3014003520. Its totient is φ = 147640320.

The previous prime is 690152389. The next prime is 690152401. The reversal of 690152400 is 4251096.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690152401) 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 119 ways as a sum of consecutive naturals, for example, 3855511 + ... + 3855689.

Almost surely, 2^690152400 is an apocalyptic number.

690152400 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 690152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507001760).

690152400 is an abundant number, since it is smaller than the sum of its proper divisors (2323851120).

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

690152400 is a wasteful number, since it uses less digits than its factorization.

690152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 690152400 is about 26270.7517973887. The cubic root of 690152400 is about 883.7206449934.

The spelling of 690152400 in words is "six hundred ninety million, one hundred fifty-two thousand, four hundred".