674876400 has 480 divisors, whose sum is σ = 2557336320. Its totient is φ = 150528000.

The previous prime is 674876399. The next prime is 674876407. The reversal of 674876400 is 4678476.

674876400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674876407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15694779 + ... + 15694821.

It is an arithmetic number, because the mean of its divisors is an integer number (5327784).

Almost surely, 2^674876400 is an apocalyptic number.

674876400 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 674876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278668160).

674876400 is an abundant number, since it is smaller than the sum of its proper divisors (1882459920).

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

674876400 is a wasteful number, since it uses less digits than its factorization.

674876400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 674876400 is about 25978.3833215233. The cubic root of 674876400 is about 877.1517761818.

The spelling of 674876400 in words is "six hundred seventy-four million, eight hundred seventy-six thousand, four hundred".