480613350 has 192 divisors, whose sum is σ = 1424908800. Its totient is φ = 104924160.

The previous prime is 480613349. The next prime is 480613403. The reversal of 480613350 is 53316084.

It is a super-3 number, since 3×480613350³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3457581 + ... + 3457719.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400).

Almost surely, 2^480613350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480613350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712454400).

480613350 is an abundant number, since it is smaller than the sum of its proper divisors (944295450).

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

480613350 is a wasteful number, since it uses less digits than its factorization.

480613350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 480613350 is about 21922.8955660515. The cubic root of 480613350 is about 783.3068840725.

It can be divided in two parts, 4806 and 13350, that multiplied together give a square (64160100 = 8010²).

The spelling of 480613350 in words is "four hundred eighty million, six hundred thirteen thousand, three hundred fifty".