355380480 has 576 divisors, whose sum is σ = 1565867520. Its totient is φ = 74317824.

The previous prime is 355380479. The next prime is 355380481. The reversal of 355380480 is 84083553.

It is an interprime number because it is at equal distance from previous prime (355380479) and next prime (355380481).

It is a tau number, because it is divible by the number of its divisors (576).

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 (355380481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144904 + ... + 3145016.

It is an arithmetic number, because the mean of its divisors is an integer number (2718520).

Almost surely, 2^355380480 is an apocalyptic number.

355380480 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 355380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782933760).

355380480 is an abundant number, since it is smaller than the sum of its proper divisors (1210487040).

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

355380480 is a wasteful number, since it uses less digits than its factorization.

355380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

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

The square root of 355380480 is about 18851.5378683014. The cubic root of 355380480 is about 708.3227485692.

The spelling of 355380480 in words is "three hundred fifty-five million, three hundred eighty thousand, four hundred eighty".