746903520 has 288 divisors, whose sum is σ = 2829756384. Its totient is φ = 177868800.

The previous prime is 746903513. The next prime is 746903533. The reversal of 746903520 is 25309647.

746903520 is a `hidden beast` number, since 7 + 46 + 90 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965854 + ... + 966626.

It is an arithmetic number, because the mean of its divisors is an integer number (9825543).

Almost surely, 2^746903520 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 746903520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414878192).

746903520 is an abundant number, since it is smaller than the sum of its proper divisors (2082852864).

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

746903520 is a wasteful number, since it uses less digits than its factorization.

746903520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 746903520 is about 27329.5356711379. The cubic root of 746903520 is about 907.3081988845.

It can be divided in two parts, 74690 and 3520, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 746903520 in words is "seven hundred forty-six million, nine hundred three thousand, five hundred twenty".