746460000 has 720 divisors, whose sum is σ = 3223780560. Its totient is φ = 161280000.

The previous prime is 746459983. The next prime is 746460007. The reversal of 746460000 is 64647.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746460007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25739986 + ... + 25740014.

It is an arithmetic number, because the mean of its divisors is an integer number (4477473).

Almost surely, 2^746460000 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 746460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611890280).

746460000 is an abundant number, since it is smaller than the sum of its proper divisors (2477320560).

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

746460000 is a wasteful number, since it uses less digits than its factorization.

746460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 746460000 is about 27321.4201680659. The cubic root of 746460000 is about 907.1285732703.

The spelling of 746460000 in words is "seven hundred forty-six million, four hundred sixty thousand".