480135744 has 189 divisors, whose sum is σ = 1531152259. Its totient is φ = 143742720.

The previous prime is 480135739. The next prime is 480135749. The reversal of 480135744 is 447531084.

The square root of 480135744 is 21912.

It is a perfect power (a square), and thus also a powerful number.

480135744 is a `hidden beast` number, since 4 + 80 + 1 + 3 + 574 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (480135739) and next prime (480135749).

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 480135699 and 480135708.

It is not an unprimeable number, because it can be changed into a prime (480135749) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5784727 + ... + 5784809.

Almost surely, 2^480135744 is an apocalyptic number.

480135744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

480135744 is the 21912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480135744

480135744 is an abundant number, since it is smaller than the sum of its proper divisors (1051016515).

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

480135744 is a wasteful number, since it uses less digits than its factorization.

480135744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The cubic root of 480135744 is about 783.0473295818.

Multiplying 480135744 by its sum of digits (36), we get a square (17284886784 = 131472²).

480135744 divided by its sum of digits (36) gives a square (13337104 = 3652²).

The spelling of 480135744 in words is "four hundred eighty million, one hundred thirty-five thousand, seven hundred forty-four".