204400746 has 80 divisors (see below), whose sum is σ = 526030560. Its totient is φ = 58669920.

The previous prime is 204400723. The next prime is 204400769. The reversal of 204400746 is 647004402.

204400746 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204400723) and next prime (204400769).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30840 + ... + 36876.

It is an arithmetic number, because the mean of its divisors is an integer number (6575382).

Almost surely, 2^204400746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204400746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263015280).

204400746 is an abundant number, since it is smaller than the sum of its proper divisors (321629814).

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

204400746 is a wasteful number, since it uses less digits than its factorization.

204400746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6081 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 204400746 is about 14296.8788901634. The cubic root of 204400746 is about 589.0617530229.

The spelling of 204400746 in words is "two hundred four million, four hundred thousand, seven hundred forty-six".