705493152 has 288 divisors, whose sum is σ = 2563247232. Its totient is φ = 185877504.

The previous prime is 705493091. The next prime is 705493153. The reversal of 705493152 is 251394507.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (705493153) 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, 707118 + ... + 708114.

It is an arithmetic number, because the mean of its divisors is an integer number (8900164).

Almost surely, 2^705493152 is an apocalyptic number.

705493152 is a gapful number since it is divisible by the number (72) 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 705493152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281623616).

705493152 is an abundant number, since it is smaller than the sum of its proper divisors (1857754080).

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

705493152 is a wasteful number, since it uses less digits than its factorization.

705493152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 705493152 is about 26561.1210606781. The cubic root of 705493152 is about 890.2205201992.

The spelling of 705493152 in words is "seven hundred five million, four hundred ninety-three thousand, one hundred fifty-two".