675829440 has 448 divisors, whose sum is σ = 2806110720. Its totient is φ = 150958080.

The previous prime is 675829439. The next prime is 675829471. The reversal of 675829440 is 44928576.

It is a happy number.

675829440 is a `hidden beast` number, since 67 + 582 + 9 + 4 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235247 + ... + 1235793.

It is an arithmetic number, because the mean of its divisors is an integer number (6263640).

Almost surely, 2^675829440 is an apocalyptic number.

675829440 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 675829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403055360).

675829440 is an abundant number, since it is smaller than the sum of its proper divisors (2130281280).

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

675829440 is a wasteful number, since it uses less digits than its factorization.

675829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 675829440 is about 25996.7197930816. The cubic root of 675829440 is about 877.5644776933.

The spelling of 675829440 in words is "six hundred seventy-five million, eight hundred twenty-nine thousand, four hundred forty".