358035480 has 192 divisors, whose sum is σ = 1324926720. Its totient is φ = 83001600.

The previous prime is 358035473. The next prime is 358035481. The reversal of 358035480 is 84530853.

358035480 is a `hidden beast` number, since 3 + 580 + 35 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (358035481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89115 + ... + 93045.

It is an arithmetic number, because the mean of its divisors is an integer number (6900660).

Almost surely, 2^358035480 is an apocalyptic number.

358035480 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 358035480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662463360).

358035480 is an abundant number, since it is smaller than the sum of its proper divisors (966891240).

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

358035480 is a wasteful number, since it uses less digits than its factorization.

358035480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 358035480 is about 18921.8254933291. The cubic root of 358035480 is about 710.0823021699.

It can be divided in two parts, 3580 and 35480, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 358035480 in words is "three hundred fifty-eight million, thirty-five thousand, four hundred eighty".