610072400 has 120 divisors (see below), whose sum is σ = 1707105024. Its totient is φ = 205171200.

The previous prime is 610072381. The next prime is 610072427. The reversal of 610072400 is 4270016.

610072400 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146345 + ... + 150455.

Almost surely, 2^610072400 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 610072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853552512).

610072400 is an abundant number, since it is smaller than the sum of its proper divisors (1097032624).

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

610072400 is a wasteful number, since it uses less digits than its factorization.

610072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 610072400 is about 24699.6437221268. The cubic root of 610072400 is about 848.1261604749.

The spelling of 610072400 in words is "six hundred ten million, seventy-two thousand, four hundred".