355164480 has 448 divisors, whose sum is σ = 1417685760. Its totient is φ = 82944000.

The previous prime is 355164419. The next prime is 355164503. The reversal of 355164480 is 84461553.

It is a happy number.

355164480 is a `hidden beast` number, since 3 + 5 + 5 + 1 + 644 + 8 + 0 = 666.

It is a super-2 number, since 2×355164480² = 252283615707340800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3516430 + ... + 3516530.

Almost surely, 2^355164480 is an apocalyptic number.

355164480 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 355164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708842880).

355164480 is an abundant number, since it is smaller than the sum of its proper divisors (1062521280).

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

355164480 is a wasteful number, since it uses less digits than its factorization.

355164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

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

The square root of 355164480 is about 18845.8080219448. The cubic root of 355164480 is about 708.1792134662.

The spelling of 355164480 in words is "three hundred fifty-five million, one hundred sixty-four thousand, four hundred eighty".