345264480 has 288 divisors, whose sum is σ = 1307674368. Its totient is φ = 82252800.

The previous prime is 345264473. The next prime is 345264487. The reversal of 345264480 is 84462543.

345264480 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 644 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345264473) and next prime (345264487).

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

It is a super-2 number, since 2×345264480² = 238415122299340800, which contains 22 as substring.

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 (345264487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124487 + ... + 1124793.

It is an arithmetic number, because the mean of its divisors is an integer number (4540536).

Almost surely, 2^345264480 is an apocalyptic number.

345264480 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 345264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653837184).

345264480 is an abundant number, since it is smaller than the sum of its proper divisors (962409888).

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

345264480 is a wasteful number, since it uses less digits than its factorization.

345264480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 345264480 is about 18581.2938193227. The cubic root of 345264480 is about 701.5370849288.

It can be divided in two parts, 345264 and 480, that added together give a square (345744 = 588²).

The spelling of 345264480 in words is "three hundred forty-five million, two hundred sixty-four thousand, four hundred eighty".