616046400 has 252 divisors, whose sum is σ = 2211019200. Its totient is φ = 162677760.

The previous prime is 616046377. The next prime is 616046413. The reversal of 616046400 is 4640616.

616046400 is a `hidden beast` number, since 6 + 16 + 0 + 4 + 640 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2577481 + ... + 2577719.

Almost surely, 2^616046400 is an apocalyptic number.

616046400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105509600).

616046400 is an abundant number, since it is smaller than the sum of its proper divisors (1594972800).

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

616046400 is a wasteful number, since it uses less digits than its factorization.

616046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 616046400 is about 24820.2820290181. The cubic root of 616046400 is about 850.8855361758.

The spelling of 616046400 in words is "six hundred sixteen million, forty-six thousand, four hundred".