61450400 has 72 divisors (see below), whose sum is σ = 163677024. Its totient is φ = 22342400.

The previous prime is 61450399. The next prime is 61450409. The reversal of 61450400 is 405416.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (61450409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5309 + ... + 12291.

It is an arithmetic number, because the mean of its divisors is an integer number (2273292).

Almost surely, 2^61450400 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 61450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81838512).

61450400 is an abundant number, since it is smaller than the sum of its proper divisors (102226624).

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

61450400 is a wasteful number, since it uses less digits than its factorization.

61450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7014 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 61450400 is about 7839.0305523068. The cubic root of 61450400 is about 394.6161950513.

Adding to 61450400 its reverse (405416), we get a palindrome (61855816).

The spelling of 61450400 in words is "sixty-one million, four hundred fifty thousand, four hundred".