674242800 has 240 divisors, whose sum is σ = 2693137152. Its totient is φ = 140083200.

The previous prime is 674242799. The next prime is 674242813. The reversal of 674242800 is 8242476.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 88752 + ... + 96048.

Almost surely, 2^674242800 is an apocalyptic number.

674242800 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 674242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346568576).

674242800 is an abundant number, since it is smaller than the sum of its proper divisors (2018894352).

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

674242800 is a wasteful number, since it uses less digits than its factorization.

674242800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336 (or 7325 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 674242800 is about 25966.1857037186. The cubic root of 674242800 is about 876.8771889239.

The spelling of 674242800 in words is "six hundred seventy-four million, two hundred forty-two thousand, eight hundred".