63451440 has 120 divisors (see below), whose sum is σ = 229516560. Its totient is φ = 15616512.

The previous prime is 63451417. The next prime is 63451447. The reversal of 63451440 is 4415436.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (63451447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5971 + ... + 12749.

It is an arithmetic number, because the mean of its divisors is an integer number (1912638).

Almost surely, 2^63451440 is an apocalyptic number.

63451440 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 63451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114758280).

63451440 is an abundant number, since it is smaller than the sum of its proper divisors (166065120).

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

63451440 is a wasteful number, since it uses less digits than its factorization.

63451440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6811 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 63451440 is about 7965.6412171275. The cubic root of 63451440 is about 398.8538858591.

Adding to 63451440 its reverse (4415436), we get a palindrome (67866876).

The spelling of 63451440 in words is "sixty-three million, four hundred fifty-one thousand, four hundred forty".