742363440 has 320 divisors, whose sum is σ = 2983142400. Its totient is φ = 148303872.

The previous prime is 742363439. The next prime is 742363441. The reversal of 742363440 is 44363247.

742363440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (742363439) and next prime (742363441).

It is a super-2 number, since 2×742363440² = 1102206954097267200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (742363441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414066 + ... + 415854.

It is an arithmetic number, because the mean of its divisors is an integer number (9322320).

Almost surely, 2^742363440 is an apocalyptic number.

742363440 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 742363440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491571200).

742363440 is an abundant number, since it is smaller than the sum of its proper divisors (2240778960).

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

742363440 is a wasteful number, since it uses less digits than its factorization.

742363440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 742363440 is about 27246.3472781215. The cubic root of 742363440 is about 905.4660928483.

The spelling of 742363440 in words is "seven hundred forty-two million, three hundred sixty-three thousand, four hundred forty".