345552480 has 480 divisors, whose sum is σ = 1506060864. Its totient is φ = 72658944.

The previous prime is 345552479. The next prime is 345552491. The reversal of 345552480 is 84255543.

345552480 is a `hidden beast` number, since 3 + 4 + 55 + 524 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179214 + ... + 1179506.

Almost surely, 2^345552480 is an apocalyptic number.

345552480 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 345552480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753030432).

345552480 is an abundant number, since it is smaller than the sum of its proper divisors (1160508384).

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

345552480 is a wasteful number, since it uses less digits than its factorization.

345552480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 345552480 is about 18589.0419333542. The cubic root of 345552480 is about 701.7320915017.

The spelling of 345552480 in words is "three hundred forty-five million, five hundred fifty-two thousand, four hundred eighty".