742461440 has 104 divisors (see below), whose sum is σ = 2036610240. Its totient is φ = 254509056.

The previous prime is 742461437. The next prime is 742461449. The reversal of 742461440 is 44164247.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 742461397 and 742461406.

It is not an unprimeable number, because it can be changed into a prime (742461449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140771 + ... + 145949.

Almost surely, 2^742461440 is an apocalyptic number.

742461440 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 742461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018305120).

742461440 is an abundant number, since it is smaller than the sum of its proper divisors (1294148800).

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

742461440 is an equidigital number, since it uses as much as digits as its factorization.

742461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 742461440 is about 27248.1456249779. The cubic root of 742461440 is about 905.5059348663.

The spelling of 742461440 in words is "seven hundred forty-two million, four hundred sixty-one thousand, four hundred forty".