61462400 has 48 divisors (see below), whose sum is σ = 151839240. Its totient is φ = 24583680.

The previous prime is 61462391. The next prime is 61462409. The reversal of 61462400 is 426416.

It is a happy number.

61462400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61462391) and next prime (61462409).

It is a super-2 number, since 2×61462400² = 7555253227520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61462409) 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, 6404 + ... + 12803.

Almost surely, 2^61462400 is an apocalyptic number.

It is an amenable number.

61462400 is an abundant number, since it is smaller than the sum of its proper divisors (90376840).

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

61462400 is a wasteful number, since it uses less digits than its factorization.

61462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19231 (or 19214 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 61462400 is about 7839.7959157111. The cubic root of 61462400 is about 394.6418801900.

Adding to 61462400 its reverse (426416), we get a palindrome (61888816).

The spelling of 61462400 in words is "sixty-one million, four hundred sixty-two thousand, four hundred".