610428400 has 30 divisors (see below), whose sum is σ = 1466555192. Its totient is φ = 244171200.

The previous prime is 610428389. The next prime is 610428407. The reversal of 610428400 is 4824016.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610428407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 762636 + ... + 763435.

Almost surely, 2^610428400 is an apocalyptic number.

It is an amenable number.

610428400 is an abundant number, since it is smaller than the sum of its proper divisors (856126792).

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

610428400 is a wasteful number, since it uses less digits than its factorization.

610428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526089 (or 1526078 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 610428400 is about 24706.8492527882. The cubic root of 610428400 is about 848.2910994791.

The spelling of 610428400 in words is "six hundred ten million, four hundred twenty-eight thousand, four hundred".