616405400 has 96 divisors (see below), whose sum is σ = 1563441600. Its totient is φ = 224640000.

The previous prime is 616405381. The next prime is 616405409. The reversal of 616405400 is 4504616.

It is a happy number.

616405400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 616405400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616405409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203900 + ... + 206900.

It is an arithmetic number, because the mean of its divisors is an integer number (16285850).

Almost surely, 2^616405400 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 616405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781720800).

616405400 is an abundant number, since it is smaller than the sum of its proper divisors (947036200).

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

616405400 is a wasteful number, since it uses less digits than its factorization.

616405400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 616405400 is about 24827.5129644514. The cubic root of 616405400 is about 851.0507881166.

The spelling of 616405400 in words is "six hundred sixteen million, four hundred five thousand, four hundred".