742481124 has 288 divisors, whose sum is σ = 2378342400. Its totient is φ = 178516800.

The previous prime is 742481123. The next prime is 742481167. The reversal of 742481124 is 421184247.

It is a super-3 number, since 3×742481124³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (742481123) 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 95 ways as a sum of consecutive naturals, for example, 23950989 + ... + 23951019.

Almost surely, 2^742481124 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 742481124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189171200).

742481124 is an abundant number, since it is smaller than the sum of its proper divisors (1635861276).

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

742481124 is a wasteful number, since it uses less digits than its factorization.

742481124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 742481124 is about 27248.5068214756. The cubic root of 742481124 is about 905.5139369974.

The spelling of 742481124 in words is "seven hundred forty-two million, four hundred eighty-one thousand, one hundred twenty-four".