374459904 has 480 divisors, whose sum is σ = 1429908480. Its totient is φ = 91570176.

The previous prime is 374459903. The next prime is 374459927. The reversal of 374459904 is 409954473.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 374459904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374459903) 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 47 ways as a sum of consecutive naturals, for example, 7967209 + ... + 7967255.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2^374459904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374459904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714954240).

374459904 is an abundant number, since it is smaller than the sum of its proper divisors (1055448576).

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

374459904 is a wasteful number, since it uses less digits than its factorization.

374459904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 374459904 is about 19350.9664874910. The cubic root of 374459904 is about 720.7784173815.

It can be divided in two parts, 3744 and 59904, that multiplied together give a square (224280576 = 14976²).

The spelling of 374459904 in words is "three hundred seventy-four million, four hundred fifty-nine thousand, nine hundred four".