746400 has 72 divisors (see below), whose sum is σ = 2437344. Its totient is φ = 198400.

The previous prime is 746371. The next prime is 746411. The reversal of 746400 is 4647.

It is a super-2 number, since 2×746400² = 1114225920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2245 + ... + 2555.

It is an arithmetic number, because the mean of its divisors is an integer number (33852).

2⁷⁴⁶⁴⁰⁰ 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 746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218672).

746400 is an abundant number, since it is smaller than the sum of its proper divisors (1690944).

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

746400 is a wasteful number, since it uses less digits than its factorization.

746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 746400 is about 863.9444426582. The cubic root of 746400 is about 90.7104267805.

The spelling of 746400 in words is "seven hundred forty-six thousand, four hundred".