359538480 has 480 divisors, whose sum is σ = 1492761600. Its totient is φ = 79252992.

The previous prime is 359538469. The next prime is 359538481. The reversal of 359538480 is 84835953.

It is a happy number.

359538480 is a `hidden beast` number, since 35 + 9 + 538 + 4 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359538481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4551081 + ... + 4551159.

It is an arithmetic number, because the mean of its divisors is an integer number (3109920).

Almost surely, 2^359538480 is an apocalyptic number.

359538480 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 359538480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746380800).

359538480 is an abundant number, since it is smaller than the sum of its proper divisors (1133223120).

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

359538480 is a wasteful number, since it uses less digits than its factorization.

359538480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 359538480 is about 18961.4999406693. The cubic root of 359538480 is about 711.0745350834.

The spelling of 359538480 in words is "three hundred fifty-nine million, five hundred thirty-eight thousand, four hundred eighty".