351312480 has 288 divisors, whose sum is σ = 1290691584. Its totient is φ = 86704128.

The previous prime is 351312469. The next prime is 351312499. The reversal of 351312480 is 84213153.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2766177 + ... + 2766303.

It is an arithmetic number, because the mean of its divisors is an integer number (4481568).

Almost surely, 2^351312480 is an apocalyptic number.

351312480 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 351312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645345792).

351312480 is an abundant number, since it is smaller than the sum of its proper divisors (939379104).

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

351312480 is a wasteful number, since it uses less digits than its factorization.

351312480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 351312480 is about 18743.3316142035. The cubic root of 351312480 is about 705.6096733059.

The spelling of 351312480 in words is "three hundred fifty-one million, three hundred twelve thousand, four hundred eighty".