481650624 has 280 divisors, whose sum is σ = 1758968288. Its totient is φ = 126904320.

The previous prime is 481650599. The next prime is 481650641. The reversal of 481650624 is 426056184.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471234 + ... + 472254.

Almost surely, 2^481650624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481650624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879484144).

481650624 is an abundant number, since it is smaller than the sum of its proper divisors (1277317664).

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

481650624 is a wasteful number, since it uses less digits than its factorization.

481650624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 481650624 is about 21946.5401373428. The cubic root of 481650624 is about 783.8699978807.

The spelling of 481650624 in words is "four hundred eighty-one million, six hundred fifty thousand, six hundred twenty-four".