705300480 has 192 divisors, whose sum is σ = 2508105600. Its totient is φ = 188006400.

The previous prime is 705300419. The next prime is 705300481. The reversal of 705300480 is 84003507.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (705300481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275205 + ... + 277755.

It is an arithmetic number, because the mean of its divisors is an integer number (13063050).

Almost surely, 2^705300480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254052800).

705300480 is an abundant number, since it is smaller than the sum of its proper divisors (1802805120).

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

705300480 is a wasteful number, since it uses less digits than its factorization.

705300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 705300480 is about 26557.4938576666. The cubic root of 705300480 is about 890.1394723137.

Adding to 705300480 its reverse (84003507), we get a palindrome (789303987).

The spelling of 705300480 in words is "seven hundred five million, three hundred thousand, four hundred eighty".