482629056 has 224 divisors, whose sum is σ = 1641335808. Its totient is φ = 121651200.

The previous prime is 482629039. The next prime is 482629067. The reversal of 482629056 is 650926284.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×482629056² = 465861611390902272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 482628999 and 482629017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401256 + ... + 402456.

It is an arithmetic number, because the mean of its divisors is an integer number (7327392).

Almost surely, 2^482629056 is an apocalyptic number.

482629056 is a gapful number since it is divisible by the number (46) 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 482629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820667904).

482629056 is an abundant number, since it is smaller than the sum of its proper divisors (1158706752).

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

482629056 is a wasteful number, since it uses less digits than its factorization.

482629056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 482629056 is about 21968.8200866592. The cubic root of 482629056 is about 784.4004271287.

The spelling of 482629056 in words is "four hundred eighty-two million, six hundred twenty-nine thousand, fifty-six".