741646400 has 84 divisors (see below), whose sum is σ = 1990862160. Its totient is φ = 269683200.

The previous prime is 741646393. The next prime is 741646421. The reversal of 741646400 is 4646147.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 3470 + ... + 38669.

It is an arithmetic number, because the mean of its divisors is an integer number (23700740).

Almost surely, 2^741646400 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 741646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995431080).

741646400 is an abundant number, since it is smaller than the sum of its proper divisors (1249215760).

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

741646400 is a wasteful number, since it uses less digits than its factorization.

741646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42172 (or 42157 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 741646400 is about 27233.1856381144. The cubic root of 741646400 is about 905.1744726344.

The spelling of 741646400 in words is "seven hundred forty-one million, six hundred forty-six thousand, four hundred".