611338400 has 144 divisors (see below), whose sum is σ = 1552400640. Its totient is φ = 234931200.

The previous prime is 611338369. The next prime is 611338423. The reversal of 611338400 is 4833116.

611338400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 611338400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2669486 + ... + 2669714.

It is an arithmetic number, because the mean of its divisors is an integer number (10780560).

Almost surely, 2^611338400 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 611338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776200320).

611338400 is an abundant number, since it is smaller than the sum of its proper divisors (941062240).

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

611338400 is a wasteful number, since it uses less digits than its factorization.

611338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 611338400 is about 24725.2583404097. The cubic root of 611338400 is about 848.7124219602.

The spelling of 611338400 in words is "six hundred eleven million, three hundred thirty-eight thousand, four hundred".