746263440 has 180 divisors, whose sum is σ = 2714258196. Its totient is φ = 183665664.

The previous prime is 746263439. The next prime is 746263459. The reversal of 746263440 is 44362647.

It can be written as a sum of positive squares in 6 ways, for example, as 18558864 + 727704576 = 4308^2 + 26976^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 746263395 and 746263404.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118614 + ... + 124746.

Almost surely, 2^746263440 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 746263440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357129098).

746263440 is an abundant number, since it is smaller than the sum of its proper divisors (1967994756).

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

746263440 is a wasteful number, since it uses less digits than its factorization.

746263440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6178 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 746263440 is about 27317.8227536530. The cubic root of 746263440 is about 907.0489437098.

The spelling of 746263440 in words is "seven hundred forty-six million, two hundred sixty-three thousand, four hundred forty".