746955360 has 288 divisors, whose sum is σ = 2802159360. Its totient is φ = 180347904.

The previous prime is 746955359. The next prime is 746955389. The reversal of 746955360 is 63559647.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628687 + ... + 629873.

It is an arithmetic number, because the mean of its divisors is an integer number (9729720).

Almost surely, 2^746955360 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 746955360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401079680).

746955360 is an abundant number, since it is smaller than the sum of its proper divisors (2055204000).

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

746955360 is a wasteful number, since it uses less digits than its factorization.

746955360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 746955360 is about 27330.4840791377. The cubic root of 746955360 is about 907.3291894442.

The spelling of 746955360 in words is "seven hundred forty-six million, nine hundred fifty-five thousand, three hundred sixty".