746948000 has 144 divisors (see below), whose sum is σ = 1923948936. Its totient is φ = 284979200.

The previous prime is 746947997. The next prime is 746948003. The reversal of 746948000 is 849647.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (746947997) and next prime (746948003).

It can be written as a sum of positive squares in 4 ways, for example, as 187909264 + 559038736 = 13708^2 + 23644^2 .

It is not an unprimeable number, because it can be changed into a prime (746948003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2115824 + ... + 2116176.

Almost surely, 2^746948000 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 746948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961974468).

746948000 is an abundant number, since it is smaller than the sum of its proper divisors (1177000936).

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

746948000 is a wasteful number, since it uses less digits than its factorization.

746948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 746948000 is about 27330.3494306238. The cubic root of 746948000 is about 907.3262093622.

The spelling of 746948000 in words is "seven hundred forty-six million, nine hundred forty-eight thousand".