63057456 has 240 divisors, whose sum is σ = 226556928. Its totient is φ = 16030080.

The previous prime is 63057451. The next prime is 63057457. The reversal of 63057456 is 65475036.

63057456 is a `hidden beast` number, since 6 + 30 + 574 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 63057456.

It is not an unprimeable number, because it can be changed into a prime (63057451) 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 47 ways as a sum of consecutive naturals, for example, 1341625 + ... + 1341671.

Almost surely, 2^63057456 is an apocalyptic number.

63057456 is a gapful number since it is divisible by the number (66) 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 63057456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113278464).

63057456 is an abundant number, since it is smaller than the sum of its proper divisors (163499472).

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

63057456 is a wasteful number, since it uses less digits than its factorization.

63057456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 63057456 is about 7940.8724961430. The cubic root of 63057456 is about 398.0266473745.

The spelling of 63057456 in words is "sixty-three million, fifty-seven thousand, four hundred fifty-six".