674284800 has 432 divisors, whose sum is σ = 2646080640. Its totient is φ = 147947520.

The previous prime is 674284759. The next prime is 674284841. The reversal of 674284800 is 8482476.

It is an interprime number because it is at equal distance from previous prime (674284759) and next prime (674284841).

It is a super-2 number, since 2×674284800² = 909319983022080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 3897514 + ... + 3897686.

Almost surely, 2^674284800 is an apocalyptic number.

674284800 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 674284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323040320).

674284800 is an abundant number, since it is smaller than the sum of its proper divisors (1971795840).

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

674284800 is a wasteful number, since it uses less digits than its factorization.

674284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 674284800 is about 25966.9944352441. The cubic root of 674284800 is about 876.8953960531.

The spelling of 674284800 in words is "six hundred seventy-four million, two hundred eighty-four thousand, eight hundred".