480034761 has 16 divisors (see below), whose sum is σ = 650695680. Its totient is φ = 314737280.

The previous prime is 480034759. The next prime is 480034799. The reversal of 480034761 is 167430084.

It is a cyclic number.

It is not a de Polignac number, because 480034761 - 2¹ = 480034759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (480034741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46291 + ... + 55703.

It is an arithmetic number, because the mean of its divisors is an integer number (40668480).

Almost surely, 2^480034761 is an apocalyptic number.

It is an amenable number.

480034761 is a deficient number, since it is larger than the sum of its proper divisors (170660919).

480034761 is a wasteful number, since it uses less digits than its factorization.

480034761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9696.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 480034761 is about 21909.6955935038. The cubic root of 480034761 is about 782.9924284323.

The spelling of 480034761 in words is "four hundred eighty million, thirty-four thousand, seven hundred sixty-one".