739417952 has 96 divisors (see below), whose sum is σ = 1849688064. Its totient is φ = 283046400.

The previous prime is 739417951. The next prime is 739417979. The reversal of 739417952 is 259714937.

It is a junction number, because it is equal to n+sod(n) for n = 739417897 and 739417906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (739417951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86177 + ... + 94367.

It is an arithmetic number, because the mean of its divisors is an integer number (19267584).

Almost surely, 2^739417952 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 739417952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924844032).

739417952 is an abundant number, since it is smaller than the sum of its proper divisors (1110270112).

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

739417952 is a wasteful number, since it uses less digits than its factorization.

739417952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8244 counting only the distinct ones).

The product of its digits is 476280, while the sum is 47.

The square root of 739417952 is about 27192.2406579524. The cubic root of 739417952 is about 904.2669611223.

The spelling of 739417952 in words is "seven hundred thirty-nine million, four hundred seventeen thousand, nine hundred fifty-two".