706501440 has 280 divisors, whose sum is σ = 2548094472. Its totient is φ = 185794560.

The previous prime is 706501429. The next prime is 706501457. The reversal of 706501440 is 44105607.

706501440 is a `hidden beast` number, since 7 + 0 + 650 + 1 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100160064 + 606341376 = 10008^2 + 24624^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2514100 + ... + 2514380.

Almost surely, 2^706501440 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 706501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274047236).

706501440 is an abundant number, since it is smaller than the sum of its proper divisors (1841593032).

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

706501440 is a wasteful number, since it uses less digits than its factorization.

706501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 388 counting only the distinct ones).

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

The square root of 706501440 is about 26580.0948079573. The cubic root of 706501440 is about 890.6444181916.

The spelling of 706501440 in words is "seven hundred six million, five hundred one thousand, four hundred forty".