351789480 has 160 divisors (see below), whose sum is σ = 1351405440. Its totient is φ = 80403840.

The previous prime is 351789443. The next prime is 351789481. The reversal of 351789480 is 84987153.

351789480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (351789481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14925 + ... + 30435.

It is an arithmetic number, because the mean of its divisors is an integer number (8446284).

Almost surely, 2^351789480 is an apocalyptic number.

351789480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351789480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675702720).

351789480 is an abundant number, since it is smaller than the sum of its proper divisors (999615960).

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

351789480 is a wasteful number, since it uses less digits than its factorization.

351789480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15541 (or 15528 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 351789480 is about 18756.0518233449. The cubic root of 351789480 is about 705.9288797273.

The spelling of 351789480 in words is "three hundred fifty-one million, seven hundred eighty-nine thousand, four hundred eighty".