481620744 has 96 divisors (see below), whose sum is σ = 1506716640. Its totient is φ = 137356800.

The previous prime is 481620709. The next prime is 481620757. The reversal of 481620744 is 447026184.

It is a super-2 number, since 2×481620744² = 463917082102227072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 481620699 and 481620708.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4422 + ... + 31349.

It is an arithmetic number, because the mean of its divisors is an integer number (15694965).

Almost surely, 2^481620744 is an apocalyptic number.

481620744 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 481620744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753358320).

481620744 is an abundant number, since it is smaller than the sum of its proper divisors (1025095896).

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

481620744 is a wasteful number, since it uses less digits than its factorization.

481620744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35811 (or 35804 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 481620744 is about 21945.8593816692. The cubic root of 481620744 is about 783.8537879845.

The spelling of 481620744 in words is "four hundred eighty-one million, six hundred twenty thousand, seven hundred forty-four".