742933440 has 168 divisors, whose sum is σ = 2690073360. Its totient is φ = 187674624.

The previous prime is 742933409. The next prime is 742933441. The reversal of 742933440 is 44339247.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 742933395 and 742933404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742933441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47932 + ... + 61508.

Almost surely, 2^742933440 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 742933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345036680).

742933440 is an abundant number, since it is smaller than the sum of its proper divisors (1947139920).

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

742933440 is a wasteful number, since it uses less digits than its factorization.

742933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13619 (or 13606 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 742933440 is about 27256.8053887465. The cubic root of 742933440 is about 905.6977779445.

The spelling of 742933440 in words is "seven hundred forty-two million, nine hundred thirty-three thousand, four hundred forty".