480146744 has 64 divisors (see below), whose sum is σ = 1132876800. Its totient is φ = 185328000.

The previous prime is 480146731. The next prime is 480146761. The reversal of 480146744 is 447641084.

It is a junction number, because it is equal to n+sod(n) for n = 480146698 and 480146707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63569 + ... + 70719.

It is an arithmetic number, because the mean of its divisors is an integer number (17701200).

Almost surely, 2^480146744 is an apocalyptic number.

480146744 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 480146744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566438400).

480146744 is an abundant number, since it is smaller than the sum of its proper divisors (652730056).

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

480146744 is a wasteful number, since it uses less digits than its factorization.

480146744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284 (or 7280 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 480146744 is about 21912.2510025784. The cubic root of 480146744 is about 783.0533094566.

The spelling of 480146744 in words is "four hundred eighty million, one hundred forty-six thousand, seven hundred forty-four".