480069744 has 160 divisors (see below), whose sum is σ = 1556519424. Its totient is φ = 123863040.

The previous prime is 480069691. The next prime is 480069761. The reversal of 480069744 is 447960084.

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 = 480069696 and 480069705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712992 + ... + 713664.

Almost surely, 2^480069744 is an apocalyptic number.

480069744 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 480069744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778259712).

480069744 is an abundant number, since it is smaller than the sum of its proper divisors (1076449680).

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

480069744 is a wasteful number, since it uses less digits than its factorization.

480069744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 480069744 is about 21910.4939241451. The cubic root of 480069744 is about 783.0114484151.

The spelling of 480069744 in words is "four hundred eighty million, sixty-nine thousand, seven hundred forty-four".