742550400 has 576 divisors, whose sum is σ = 2959632000. Its totient is φ = 176394240.

The previous prime is 742550387. The next prime is 742550441. The reversal of 742550400 is 4055247.

742550400 is a `hidden beast` number, since 7 + 4 + 255 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12585571 + ... + 12585629.

It is an arithmetic number, because the mean of its divisors is an integer number (5138250).

Almost surely, 2^742550400 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 742550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479816000).

742550400 is an abundant number, since it is smaller than the sum of its proper divisors (2217081600).

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

742550400 is a wasteful number, since it uses less digits than its factorization.

742550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 742550400 is about 27249.7779807469. Note that the first 3 decimals coincide. The cubic root of 742550400 is about 905.5420986259.

The spelling of 742550400 in words is "seven hundred forty-two million, five hundred fifty thousand, four hundred".