480948390 has 48 divisors (see below), whose sum is σ = 1346658768. Its totient is φ = 118387008.

The previous prime is 480948367. The next prime is 480948401. The reversal of 480948390 is 93849084.

It is a happy number.

480948390 is a `hidden beast` number, since 4 + 80 + 9 + 483 + 90 = 666.

It is a super-3 number, since 3×480948390³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 204364 + ... + 206703.

It is an arithmetic number, because the mean of its divisors is an integer number (28055391).

Almost surely, 2^480948390 is an apocalyptic number.

480948390 is an abundant number, since it is smaller than the sum of its proper divisors (865710378).

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

480948390 is a wasteful number, since it uses less digits than its factorization.

480948390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411093 (or 411090 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 480948390 is about 21930.5355611759. The cubic root of 480948390 is about 783.4888586120.

The spelling of 480948390 in words is "four hundred eighty million, nine hundred forty-eight thousand, three hundred ninety".