601616400 has 480 divisors, whose sum is σ = 2550693888. Its totient is φ = 117350400.

The previous prime is 601616387. The next prime is 601616401. The reversal of 601616400 is 4616106.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (601616401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1570609 + ... + 1570991.

Almost surely, 2^601616400 is an apocalyptic number.

601616400 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 601616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275346944).

601616400 is an abundant number, since it is smaller than the sum of its proper divisors (1949077488).

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

601616400 is a wasteful number, since it uses less digits than its factorization.

601616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 601616400 is about 24527.8698626685. The cubic root of 601616400 is about 844.1893887038.

The spelling of 601616400 in words is "six hundred one million, six hundred sixteen thousand, four hundred".