674486400 has 192 divisors, whose sum is σ = 2539212480. Its totient is φ = 154152960.

The previous prime is 674486389. The next prime is 674486401. The reversal of 674486400 is 4684476.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (674486401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62182 + ... + 72218.

It is an arithmetic number, because the mean of its divisors is an integer number (13225065).

Almost surely, 2^674486400 is an apocalyptic number.

674486400 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 674486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269606240).

674486400 is an abundant number, since it is smaller than the sum of its proper divisors (1864726080).

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

674486400 is a wasteful number, since it uses less digits than its factorization.

674486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10071 (or 10054 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 674486400 is about 25970.8759960075. The cubic root of 674486400 is about 876.9827797503.

The spelling of 674486400 in words is "six hundred seventy-four million, four hundred eighty-six thousand, four hundred".