674150400 has 864 divisors, whose sum is σ = 3168547200. Its totient is φ = 132710400.

The previous prime is 674150383. The next prime is 674150423. The reversal of 674150400 is 4051476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35481591 + ... + 35481609.

It is an arithmetic number, because the mean of its divisors is an integer number (3667300).

Almost surely, 2^674150400 is an apocalyptic number.

674150400 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 674150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584273600).

674150400 is an abundant number, since it is smaller than the sum of its proper divisors (2494396800).

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

674150400 is a wasteful number, since it uses less digits than its factorization.

674150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 674150400 is about 25964.4064056932. The cubic root of 674150400 is about 876.8371305781.

The spelling of 674150400 in words is "six hundred seventy-four million, one hundred fifty thousand, four hundred".