746313840 has 240 divisors, whose sum is σ = 2678757120. Its totient is φ = 185794560.

The previous prime is 746313793. The next prime is 746313847. The reversal of 746313840 is 48313647.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 746313795 and 746313804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746313847) 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, 646704 + ... + 647856.

It is an arithmetic number, because the mean of its divisors is an integer number (11161488).

Almost surely, 2^746313840 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 746313840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339378560).

746313840 is an abundant number, since it is smaller than the sum of its proper divisors (1932443280).

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

746313840 is a wasteful number, since it uses less digits than its factorization.

746313840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 746313840 is about 27318.7452127655. The cubic root of 746313840 is about 907.0693628787.

The spelling of 746313840 in words is "seven hundred forty-six million, three hundred thirteen thousand, eight hundred forty".