742633000 has 128 divisors (see below), whose sum is σ = 1816214400. Its totient is φ = 283968000.

The previous prime is 742632983. The next prime is 742633013. The reversal of 742633000 is 336247.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2418847 + ... + 2419153.

It is an arithmetic number, because the mean of its divisors is an integer number (14189175).

Almost surely, 2^742633000 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 742633000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908107200).

742633000 is an abundant number, since it is smaller than the sum of its proper divisors (1073581400).

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

742633000 is a wasteful number, since it uses less digits than its factorization.

742633000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 742633000 is about 27251.2935472795. The cubic root of 742633000 is about 905.5756743509.

Adding to 742633000 its reverse (336247), we get a palindrome (742969247).

The spelling of 742633000 in words is "seven hundred forty-two million, six hundred thirty-three thousand".