355272480 has 240 divisors, whose sum is σ = 1273345920. Its totient is φ = 93270528.

The previous prime is 355272461. The next prime is 355272481. The reversal of 355272480 is 84272553.

355272480 is a `hidden beast` number, since 3 + 552 + 7 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (355272481) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1023667 + ... + 1024013.

It is an arithmetic number, because the mean of its divisors is an integer number (5305608).

Almost surely, 2^355272480 is an apocalyptic number.

355272480 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 355272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636672960).

355272480 is an abundant number, since it is smaller than the sum of its proper divisors (918073440).

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

355272480 is a wasteful number, since it uses less digits than its factorization.

355272480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 355272480 is about 18848.6731628515. The cubic root of 355272480 is about 708.2509882900.

The spelling of 355272480 in words is "three hundred fifty-five million, two hundred seventy-two thousand, four hundred eighty".