481622064 has 160 divisors (see below), whose sum is σ = 1559900160. Its totient is φ = 124396800.

The previous prime is 481622027. The next prime is 481622083. The reversal of 481622064 is 460226184.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1149247 + ... + 1149665.

It is an arithmetic number, because the mean of its divisors is an integer number (9749376).

Almost surely, 2^481622064 is an apocalyptic number.

481622064 is a gapful number since it is divisible by the number (44) 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 481622064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779950080).

481622064 is an abundant number, since it is smaller than the sum of its proper divisors (1078278096).

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

481622064 is a wasteful number, since it uses less digits than its factorization.

481622064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 481622064 is about 21945.8894556589. The cubic root of 481622064 is about 783.8545040985.

The spelling of 481622064 in words is "four hundred eighty-one million, six hundred twenty-two thousand, sixty-four".