742817460 has 288 divisors, whose sum is σ = 2676989952. Its totient is φ = 152167680.

The previous prime is 742817437. The next prime is 742817473. The reversal of 742817460 is 64718247.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3330909 + ... + 3331131.

It is an arithmetic number, because the mean of its divisors is an integer number (9295104).

Almost surely, 2^742817460 is an apocalyptic number.

742817460 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 742817460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338494976).

742817460 is an abundant number, since it is smaller than the sum of its proper divisors (1934172492).

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

742817460 is a wasteful number, since it uses less digits than its factorization.

742817460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 742817460 is about 27254.6777636427. The cubic root of 742817460 is about 905.6506457299.

The spelling of 742817460 in words is "seven hundred forty-two million, eight hundred seventeen thousand, four hundred sixty".