674532000 has 288 divisors, whose sum is σ = 2457668304. Its totient is φ = 175104000.

The previous prime is 674531999. The next prime is 674532029. The reversal of 674532000 is 235476.

It is a happy number.

674532000 is a `hidden beast` number, since 6 + 7 + 453 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7033104 + 667498896 = 2652^2 + 25836^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1475772 + ... + 1476228.

Almost surely, 2^674532000 is an apocalyptic number.

674532000 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 674532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228834152).

674532000 is an abundant number, since it is smaller than the sum of its proper divisors (1783136304).

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

674532000 is a wasteful number, since it uses less digits than its factorization.

674532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 674532000 is about 25971.7538876372. The cubic root of 674532000 is about 877.0025426957.

Adding to 674532000 its reverse (235476), we get a palindrome (674767476).

The spelling of 674532000 in words is "six hundred seventy-four million, five hundred thirty-two thousand".