611404416 has 256 divisors, whose sum is σ = 2088960000. Its totient is φ = 172440576.

The previous prime is 611404411. The next prime is 611404421. The reversal of 611404416 is 614404116.

611404416 is a `hidden beast` number, since 611 + 4 + 0 + 4 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (611404411) and next prime (611404421).

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

It is a self number, because there is not a number n which added to its sum of digits gives 611404416.

It is not an unprimeable number, because it can be changed into a prime (611404411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3072285 + ... + 3072483.

It is an arithmetic number, because the mean of its divisors is an integer number (8160000).

Almost surely, 2^611404416 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 611404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044480000).

611404416 is an abundant number, since it is smaller than the sum of its proper divisors (1477555584).

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

611404416 is a wasteful number, since it uses less digits than its factorization.

611404416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 611404416 is about 24726.5932954785. The cubic root of 611404416 is about 848.7429705525.

It can be divided in two parts, 61140 and 4416, that added together give a palindrome (65556).

The spelling of 611404416 in words is "six hundred eleven million, four hundred four thousand, four hundred sixteen".