742881460 has 48 divisors (see below), whose sum is σ = 1604477952. Its totient is φ = 288748800.

The previous prime is 742881413. The next prime is 742881467. The reversal of 742881460 is 64188247.

742881460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×742881460² = 1103745727223463200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742881467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220549 + ... + 223891.

It is an arithmetic number, because the mean of its divisors is an integer number (33426624).

Almost surely, 2^742881460 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 742881460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802238976).

742881460 is an abundant number, since it is smaller than the sum of its proper divisors (861596492).

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

742881460 is a wasteful number, since it uses less digits than its factorization.

742881460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 742881460 is about 27255.8518487315. The cubic root of 742881460 is about 905.6766548012.

It can be divided in two parts, 7428 and 81460, that added together give a palindrome (88888).

The spelling of 742881460 in words is "seven hundred forty-two million, eight hundred eighty-one thousand, four hundred sixty".