610406400 has 156 divisors (see below), whose sum is σ = 2019179792. Its totient is φ = 162693120.

The previous prime is 610406393. The next prime is 610406417. The reversal of 610406400 is 4604016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306207 + ... + 308193.

Almost surely, 2^610406400 is an apocalyptic number.

610406400 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 610406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009589896).

610406400 is an abundant number, since it is smaller than the sum of its proper divisors (1408773392).

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

610406400 is a wasteful number, since it uses less digits than its factorization.

610406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 610406400 is about 24706.4040281057. The cubic root of 610406400 is about 848.2809084786.

The spelling of 610406400 in words is "six hundred ten million, four hundred six thousand, four hundred".