746238864 has 160 divisors (see below), whose sum is σ = 2338136064. Its totient is φ = 200471040.

The previous prime is 746238859. The next prime is 746238869. The reversal of 746238864 is 468832647.

746238864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (746238859) and next prime (746238869).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (746238869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470617 + ... + 472199.

Almost surely, 2^746238864 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 746238864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169068032).

746238864 is an abundant number, since it is smaller than the sum of its proper divisors (1591897200).

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

746238864 is a wasteful number, since it uses less digits than its factorization.

746238864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1679 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 746238864 is about 27317.3729337211. The cubic root of 746238864 is about 907.0389866007.

The spelling of 746238864 in words is "seven hundred forty-six million, two hundred thirty-eight thousand, eight hundred sixty-four".