705413040 has 80 divisors (see below), whose sum is σ = 2228080608. Its totient is φ = 184557568.

The previous prime is 705412997. The next prime is 705413047. The reversal of 705413040 is 40314507.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 705413040.

It is not an unprimeable number, because it can be changed into a prime (705413047) 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, 15009 + ... + 40448.

Almost surely, 2^705413040 is an apocalyptic number.

It is an amenable number.

705413040 is an abundant number, since it is smaller than the sum of its proper divisors (1522667568).

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

705413040 is a wasteful number, since it uses less digits than its factorization.

705413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55526 (or 55520 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 705413040 is about 26559.6129489870. The cubic root of 705413040 is about 890.1868227089.

Adding to 705413040 its reverse (40314507), we get a palindrome (745727547).

The spelling of 705413040 in words is "seven hundred five million, four hundred thirteen thousand, forty".