616334400 has 336 divisors, whose sum is σ = 2452908480. Its totient is φ = 149299200.

The previous prime is 616334393. The next prime is 616334417. The reversal of 616334400 is 4433616.

616334400 is a `hidden beast` number, since 616 + 3 + 3 + 4 + 40 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 474552 + ... + 475848.

Almost surely, 2^616334400 is an apocalyptic number.

616334400 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 616334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226454240).

616334400 is an abundant number, since it is smaller than the sum of its proper divisors (1836574080).

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

616334400 is a wasteful number, since it uses less digits than its factorization.

616334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 616334400 is about 24826.0830579453. The cubic root of 616334400 is about 851.0181110689.

The spelling of 616334400 in words is "six hundred sixteen million, three hundred thirty-four thousand, four hundred".