61430400 has 288 divisors, whose sum is σ = 230193600. Its totient is φ = 16174080.

The previous prime is 61430353. The next prime is 61430417. The reversal of 61430400 is 403416.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 777561 + ... + 777639.

Almost surely, 2^61430400 is an apocalyptic number.

61430400 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 61430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115096800).

61430400 is an abundant number, since it is smaller than the sum of its proper divisors (168763200).

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

61430400 is an equidigital number, since it uses as much as digits as its factorization.

61430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 61430400 is about 7837.7547805478. The cubic root of 61430400 is about 394.5733790551.

Adding to 61430400 its reverse (403416), we get a palindrome (61833816).

The spelling of 61430400 in words is "sixty-one million, four hundred thirty thousand, four hundred".