746966400 has 384 divisors, whose sum is σ = 2731968000. Its totient is φ = 178421760.

The previous prime is 746966393. The next prime is 746966419. The reversal of 746966400 is 4669647.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 3753501 + ... + 3753699.

It is an arithmetic number, because the mean of its divisors is an integer number (7114500).

Almost surely, 2^746966400 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 746966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365984000).

746966400 is an abundant number, since it is smaller than the sum of its proper divisors (1985001600).

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

746966400 is a wasteful number, since it uses less digits than its factorization.

746966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 746966400 is about 27330.6860506647. The cubic root of 746966400 is about 907.3336595306. Note that the first 3 decimals are identical.

The spelling of 746966400 in words is "seven hundred forty-six million, nine hundred sixty-six thousand, four hundred".