674516400 has 120 divisors (see below), whose sum is σ = 2254736640. Its totient is φ = 172043520.

The previous prime is 674516341. The next prime is 674516407. The reversal of 674516400 is 4615476.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (674516407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15381 + ... + 39819.

It is an arithmetic number, because the mean of its divisors is an integer number (18789472).

Almost surely, 2^674516400 is an apocalyptic number.

674516400 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 674516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127368320).

674516400 is an abundant number, since it is smaller than the sum of its proper divisors (1580220240).

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

674516400 is a wasteful number, since it uses less digits than its factorization.

674516400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24483 (or 24472 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 674516400 is about 25971.4535596297. The cubic root of 674516400 is about 876.9957817883.

The spelling of 674516400 in words is "six hundred seventy-four million, five hundred sixteen thousand, four hundred".