742353920 has 264 divisors, whose sum is σ = 2268239760. Its totient is φ = 230522880.

The previous prime is 742353877. The next prime is 742353923. The reversal of 742353920 is 29353247.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (742353923) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2759546 + ... + 2759814.

Almost surely, 2^742353920 is an apocalyptic number.

742353920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134119880).

742353920 is an abundant number, since it is smaller than the sum of its proper divisors (1525885840).

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

742353920 is a wasteful number, since it uses less digits than its factorization.

742353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 742353920 is about 27246.1725752444. The cubic root of 742353920 is about 905.4622222940.

The spelling of 742353920 in words is "seven hundred forty-two million, three hundred fifty-three thousand, nine hundred twenty".