746042000 has 80 divisors (see below), whose sum is σ = 1967981184. Its totient is φ = 271280000.

The previous prime is 746041993. The next prime is 746042009. The reversal of 746042000 is 240647.

746042000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (746042009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5045 + ... + 38955.

Almost surely, 2^746042000 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 746042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983990592).

746042000 is an abundant number, since it is smaller than the sum of its proper divisors (1221939184).

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

746042000 is a wasteful number, since it uses less digits than its factorization.

746042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33945 (or 33929 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 746042000 is about 27313.7694213010. The cubic root of 746042000 is about 906.9592181172.

Adding to 746042000 its reverse (240647), we get a palindrome (746282647).

The spelling of 746042000 in words is "seven hundred forty-six million, forty-two thousand".