480249378 has 64 divisors (see below), whose sum is σ = 1223424000. Its totient is φ = 136793232.

The previous prime is 480249373. The next prime is 480249389. The reversal of 480249378 is 873942084.

It is a super-3 number, since 3×480249378³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480249373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133933 + ... + 137471.

It is an arithmetic number, because the mean of its divisors is an integer number (19116000).

Almost surely, 2^480249378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480249378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611712000).

480249378 is an abundant number, since it is smaller than the sum of its proper divisors (743174622).

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

480249378 is a wasteful number, since it uses less digits than its factorization.

480249378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 480249378 is about 21914.5928093588. The cubic root of 480249378 is about 783.1090994615.

The spelling of 480249378 in words is "four hundred eighty million, two hundred forty-nine thousand, three hundred seventy-eight".