355303428480 has 2560 divisors, whose sum is σ = 1755636664320. Its totient is φ = 66089779200.

The previous prime is 355303428461. The next prime is 355303428481. The reversal of 355303428480 is 84824303553.

355303428480 is a `hidden beast` number, since 3 + 5 + 530 + 34 + 2 + 8 + 4 + 80 = 666.

It is a super-2 number, since 2×355303428480² (a number of 24 digits) contains 22 as substring.

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 (355303428481) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2127565357 + ... + 2127565523.

It is an arithmetic number, because the mean of its divisors is an integer number (685795572).

Almost surely, 2^355303428480 is an apocalyptic number.

355303428480 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 355303428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877818332160).

355303428480 is an abundant number, since it is smaller than the sum of its proper divisors (1400333235840).

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

355303428480 is a wasteful number, since it uses less digits than its factorization.

355303428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 355303428480 in words is "three hundred fifty-five billion, three hundred three million, four hundred twenty-eight thousand, four hundred eighty".